Rotational Motion — practice questions
164 curated practice questions from Rotational Motion (Physics JEE Main, NTA Exams) — 151 easy, 4 hard, 9 medium. Every question includes the final answer free; step-by-step worked solutions with a free account.
- A particle covers equal distance around a circular path, in equal intervals of time. Which of the following quantities…
- One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moments of inertia about…
- Given below are two statements. STATEMENT - 1: The radius of gyration of a solid sphere having radius R is 2R…
- The angular velocity of a particle moving in a circle of radius 50 cm is increased in 5 min from 100 revolutions per…
- A wheel rotates with a constant angular velocity of 300 rpm. The angle through which the wheel rotates in one second is
- A sphere is suspended by a thread of length l. What minimum horizontal velocity is to be imparted to the sphere for it…
- A bottle of soda water is grasped by the neck and swing briskly in a vertical circle. Near which portion of the bottle…
- A particle is moving along a circular path of radius 5m with a uniform speed 5 ms –1 . What will be the average…
- A particle moves in a force field given by: F = r F , where r is a unit vector along the position vector r , then which…
- The ratio of angular speed of hours hand and seconds hand of a clock is-
- A disc of moment of inertia I1 is rotating freely with angular velocity ω1 when a second, non-rotating disc with moment…
- The angular velocity of a wheel increases from 100 rad/s to 300 rad/s in 10 s. The angle rotated (in radians) by the…
- Three-point masses, each of mass M, are placed at the corners of an equilateral triangle of side L. Then the moment of…
- A hoop rolls on a horizontal ground without slipping with linear speed v. Speed of a particle P on the circumference of…
- A chain of 125 links is 1.25 m long and has a mass of 2 kg with the ends fastened together it is set rotating at 3000…
- A body of mass m is moving in a circle of radius r with a constant speed v. The force on the body is mv 2 /r and it is…
- A particle rests on the top of the hemisphere of radius R. The small horizontal velocity that must be imparted to the…
- A thin hollow cylinder is free to rotate about its geometrical axis. It has a mass of 8 kg and a radius of 20 cm. A…
- A particle is moving along a straight line parallel to x–axis with constant velocity. Its angular momentum about the…
- Two rings of same mass (m) and radius (r) are placed such that their centres are at a common point and their planes are…
- The breaking tension of a string is 10 N. A particle of mass 0.1 kg tied to it is rotated along a horizontal circle of…
- A string of negligible thickness is wrapped several times around a cylinder kept on a rough horizontal surface. A man…
- A uniform rod of mass M and length L lies radially on a disc rotating with angular speed ω in a horizontal plane about…
- The moment of inertia of a metre stick of mass 300 gm, about an axis at right angles to the stick and located at 30 cm…
- If the radius of earth contracts 1 n of its present-day value, the length of the day will be approximately:
- Two bodies of masses 10 kg and 5 kg are moving on concentric orbits of radii R and r such that their period of…
- Figure shows a uniform rod of length l and mass M which is pivoted at end A such that it can rotate in a vertical…
- A motor - cycle is moving in a vertical circular path. At what stage will the speed of the motor cycle be maximum ?
- If a gymnast, sitting on a rotating stool with his arms outstretched, suddenly lowers his arms :
- One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moments of inertia about…
- For the same total mass which of the following will have the largest moment of inertia about an axis passing through…
- A ring of radius 0.5 m and mass 10 kg is rotating about its diameter with angular velocity of 20 rad/s. Its kinetic…
- A motor cyclist moving with a velocity of 72 km per hour on a flat road takes a turn on the road at a point where the…
- If a particle moves in the X – Y plane, the resultant angular momentum has:
- Three point masses m 1 , m 2 and m 3 are located at the vertices of an equilateral triangle of side ‘a’. What is the…
- Given below are two statements. STATEMENT - 1: Tangential acceleration arises in non-uniform circular motion due to…
- A wheel is subjected to uniform angular acceleration about its axis. Initially its angular velocity is zero. In the…
- In applying the equation for motion with uniform angular acceleration ω = ω 0 + α t, the radian measure -
- A body is rolling down an inclined plane without slipping. How does the acceleration of the rolling body depend on its…
- In circular motion, the centripetal acceleration is given by-
- A uniform solid sphere rolls on a horizonal surface at 20 ms -1 . It then rolls up an incline having an angle of…
- A particle of mass m = 5 units is moving with a uniform speed v=3 2 ~m / s in the XOY plane along the line y=x+4 . When…
- A can filled with water is revolved in a vertical circle of radius 4 metre and the water just does not fall down. The…
- A solid cylinder of mass 2 kg and radius 4 cm rotating about its axis at the rate of 3 rpm. The torque required to stop…
- A body is revolving with a uniform speed V in a circle of radius r. The linear acceleration of the body is -
- Four spheres of diameter 2a and mass M are placed with their centres on the four corners of a square of side b. Then…
- If suddenly the Earth shrinks to half its present size without any change in its mass, the length of the day will be
- A car of mass m is taking a circular turn of radius ‘r’ on a frictional level road with a speed v. In order that the…
- A disc is rolling on an inclined plane. What is the ratio of its rotational K.E. to the total K. E.?
- A rigid body rotates about a fixed axis with variable angular velocity equal to - t at time t where and are constants…
- A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is…
- The roadway bridge over a canal is in the form of a circular arc of radius 18 m. What is the greatest speed with which…
- The ratio of angular speeds of minutes hand and hour hand of a watch is -
- A circular disc X of radius R is made from an iron plate of thickness t, and another disc Y of radius 4R is made from…
- A particle is moving along a circular path of radius 2m with uniform speed of 5 ms –1 . What will be the change in…
- A rigid body rotates with an angular momentum L. If its rotational kinetic energy is made 4 times, its angular momentum…
- A ground stone has a moment of inertia of 600 kg-m 2 . A constant torque is applied and the ground stone is found to…
- A uniform rod of length L is free to rotate in a vertical plane about a fixed horizontal axis through B. The rod begins…
- A particle is projected so as to just move along a vertical circle of radius r. The ratio of the tension in the string…
- In the pulley system shown, if radii of the bigger and smaller pulley are 2 m and 1m respectively and the acceleration…
- A particle completes 3 revolutions per second on a circular path of radius 8 cm. Find the values of angular velocity…
- A particle of mass M is revolving in a circle of radius R and another particle of mass m is revolving in a circle of…
- A disc of radius r rolls on a horizontal ground with linear acceleration a and angular acceleration as shown in figure…
- A grinding wheel attained a velocity of 20 rad/sec in 5 sec starting from rest. Find the number of revolutions made by…
- A wheel comprises of a ring of radius R and mass M and three spokes of mass m each. The moment of inertia of the wheel…
- The ratio of the squares of radii of gyration of a circular disc and a circular ring of the same radius about a…
- A cyclist taking turn bends inwards while a car passenger taking the same turn is thrown outwards. The reason is -
- A hoop rolls without slipping down an 30 o incline of slope 30°. Linear acceleration of its centre of mass is
- Moment of inertia of a uniform circular disc about a diameter is I. Its moment of inertia about an axis perpendicular…
- A uniform rod is kept on a frictionless horizontal table and two forces F 1 and F 2 are acted as shown in figure. The…
- A body of mass m crosses the top most point of a vertical circle with critical speed. What will be tension in string…
- A stone of mass 0.5 kg tied with a string of length 1 metre is moving in a horizontal circular path with a speed of 4…
- The linear velocity of a particle on the equator is nearly (radius of the earth is 4000 miles):
- class="ql-font-euclid-symbol"> A stone of mass m is tied to a string of length and whirled in a circle with a constant…
- A uniform metre stick of mass M is hinged at one end and supported in a horizontal direction by a string attached to…
- An aeroplane flying at 100 m/sec dives in a vertical plane along the circle of radius 200 m. The mass of the pilot is…
- A constant torque acting on a uniform circular wheel changes its angular momentum from A_ 0 to 4 A_ 0 in 4 seconds. The…
- For the given uniform square lamina ABCD, whose centre is O, Choose the correct statement about moment of inertial…
- The linear and angular acceleration of a particle are 10 m/sec 2 and 5 rad/sec 2 respectively it will be at a distance…
- A string of length 1 m is fixed at one end and carries a mass of 100 gm at the other end. The string makes (2/π)…
- On an unbanked road, a cyclist negotiating a bend of radius r at velocity v must lean inwards by an angle θ equal to -
- Figure shows a hemisphere of radius 4R. A ball of radius R is released from position P. It rolls without slipping along…
- A wheel starts rotating at 10 rad/sec and attains the angular velocity of 100 rad/sec in 15 seconds. What is the…
- A stone of mass 0.5 kg tied with a string of length 1 m is moving in a circular path with a speed of 4 m/sec. Find…
- A coin placed on a rotating turn table just slips if it is at a distance of 40 cm from the centre if the angular…
- A T- shaped object with dimensions shown in the figure, is lying on a smooth floor. A force F is applied at the point P…
- A particle is moving in a horizontal circle with constant speed. State whether, the-
- A particle is moving along a circular path of radius 6 m with uniform speed of 8 ms –1 . The average acceleration when…
- A sphere of mass m rolls without slipping on an inclined plane of inclination θ. The force of friction on the sphere is:
- Given below are two statements. STATEMENT - 1: The moment of inertia of a given rigid body about any two different axes…
- The angular velocity of earth about its axis of rotation is-
- The moment of inertia of a solid cylinder of mass M, radius R and length L about its axis
- A cyclist is moving on a circular track of radius 80 m with a velocity of 72 km/hr. He has to lean from the vertical…
- A string can bear a maximum tension of 100 Newton without breaking. A body of mass 1 kg is attached to one end of 1 m…
- What happens to the centripetal acceleration of a revolving body if you double the orbital speed v and halve the…
- Four identical rods are joined end to end to form a square. The mass of each rod is M. The moment of inertia of the…
- A body of mass 2 kg is moving in a vertical of radius 2 m. The work done when it moves from the lowest point to the…
- When the road is dry and the coefficient of friction is µ, the maximum speed of a car in a circular path is 10 m/s, if…
- A stone of mass m is tied to a string of length L and rotated in a circle with a constant speed v, if the string is…
- In order to determine the moment of inertia of a flywheel 32 J of work was done on the flywheel to change its speed…
- A thin circular ring of mass M and radius R is rotating about its axis with a constant angular velocity w. Two objects…
- Two cars of masses m 1 and m 2 are moving along the circular path of radius r 1 and r 2 . They take one round in the…
- A solid sphere of mass M and radius R is placed on a rough horizontal surface. It is pulled by a horizontal force F…
- A body is moving with a constant speed v in a circle of radius r. Its angular acceleration is-
- A particle moves in a circle of a radius 30 cm. Its linear speed is given by : v = 2t, where t in second and v in m/s…
- A particle is moving along a circular path with uniform speed. Through what angle does its angular velocity change when…
- A closed tube partly filled with water lies in a horizontal plane. If the tube is rotated about perpendicular bisector…
- Figure shows a uniform rod of length l and mass M which is pivoted at end A such that it can rotate in a vertical…
- A person with a mass of M kg stands in contact against the wall of the cylindrical drum of radius r rotating with an…
- A solid sphere is rolling on a frictionless surface, shown in figure with a translational velocity v m/s. If it is to…
- An equilateral prism of mass m rests on a rough horizontal surface with coefficient of friction . A horizontal force F…
- The earth, radius 6400 km, makes one revolution about its own axis in 24 hours. The centripetal acceleration of a point…
- A solid sphere of mass 2 kg and radius 0.5 cm rolls without slipping along a horizontal plane. The velocity of its…
- A car is travelling with linear velocity v on a circular road of radius r. If it is increasing it speed at the rate of…
- Moment of inertia of a circular wire of mass M and radius R about its diameter is:
- The moment of inertia of a solid sphere about an axis passing through centre of gravity is 2 5 M R^ 2 ; then its radius…
- A block of mass m slides down along the surface of the bowl from the rim to the bottom as shown in fig. The velocity of…
- If a spherical ball rolls on a table without slipping, the fraction of its total energy associated with rotation is
- The moment of inertia of a circular ring of radius R and mass M about a tangent in its plane is:
- A flywheel of mass 50 kg and radius of gyration about its axis of rotation of 0.5m is acted upon by a constant torque…
- A sphere of mass m rolls without slipping on an inclined plane of inclination θ. The linear acceleration of the sphere…
- A sphere of mass m rolls without slipping on an inclined plane of inclination θ. the minimum value of coefficient of…
- The moment of inertia of a body about a given axis is 1.2 kg-m 2 . Initially, the body is at rest. In order to produce…
- A 2 kg stone at the end of a string 1m long is whirled in a vertical circle at a constant speed. The speed of the stone…
- A particle is acted upon by a constant force always normal to the direction of motion of the particle. It is therefore…
- A nitrogen molecule consists of two nitrogen atoms separated by a distance of 1.3 10^ -10 ~m . The average rotational…
- A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the…
- A particle of mass m is projected with a velocity v making an angle of 45° with the horizontal. The magnitude of…
- A particle moves in circular path with uniform speed v. The change in its velocity on rotating through 60º is -
- The position of a particle is given by r = i +2 j - k : and its linear momentum is given by: p =3 i +4 j -2 k Then its…
- The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of…
- What is the torque of force F =2 i -3 j +4 k acting at a point r =3 i +2 j +3 k about the origin?
- An automobile moves on a road with a speed of 54 km/h. The radius of its wheels is 0.45 m and the moment of inertia of…
- Given below are two statements. STATEMENT - 1: If the moment of inertia about an axis of a body and rotational kinetic…
- A wheel having a diameter of 3 m starts from rest and accelerates uniformly to an angular velocity of 210 r.p.m. in 5…
- If the radius of a solid sphere is 35 cm, calculate the radius of gyration when the axis is along a tangent:
- A particle moves along a circle of radius ( 20 ) m with constant tangential acceleration. If the velocity of the…
- The maximum speed with which a car can cross a convex bridge over a river with radius of curvature 9 m is : (given that…
- When a ceiling fan is switched off, its angular velocity falls to half while it makes 36 rotations. How many more…
- A mass m is revolving in a vertical circle at the end of a string of length 20 cm. By how much does the tension of the…
- What is the moment of inertia I of a uniform solid sphere of mass M and radius R, pivoted about an axis that is tangent…
- An electric motor operates at 20 rev/s. What will be the approximate power delivered by the motor if it supplies a…
- Given below are two statements. STATEMENT - 1: If the mass and radius of a uniform disc and solid cylinder are equal…
- When a ceiling fan is switched off, its angular velocity falls to 50% while it makes 36 rotations. How many more…
- What happens to centripital force of a revolving body if you double the orbital speed v and halve the angular velocity…
- The driving side belt has a tension of 1600 N and the slack side has 500 N tension. The belt turns a pulley 40 cm in…
- The moment of inertia of a straight thin rod of mass M, length L about an axis perpendicular to its length and passing…
- If a particle moves in a circle describing equal angles in equal intervals of time, its velocity vector –
- A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn is-
- If both the speed and radius of circular path of a revolving body are doubled, the magnitude of centripetal force will…
- A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It goes down a smooth surface to the…
- A child is standing with folded hands at the centre of platform rotating about its central axis. The kinetic energy of…
- A wheel is subjected to uniform angular acceleration about its axis. Initially, its angular velocity is zero. In the…
- A stone of mass 0.1 kg tied to one end of a string 1.0 m long is revolved in a horizontal circle at the rate of 10/π…
- Moment of inertia of a uniform annular disc of internal radius r and external radius R and mass M about an axis through…
- Two bodies have their moments of inertia I and 2 I respectively about their axis of rotation. If their kinetic energies…
- A car of mass 1000 kg moves on a circular track of radius 20 m. if the coefficient of friction is 0.64, what is the…
- A body of mass 10 kg is rotated in vertical circle of radius 4 cm at constant angular velocity of 5 rad/ sec. The…
- The moment of inertia of a body about a given axis is 2.4 kg-m 2 to produce a rotational kinetic energy of 750 J, an…
- A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its…
- A particle moves in a circle of radius 25 cm at two revolutions per second. The acceleration of particle in m/s 2 is -
- What is the angular velocity in rad/s of a fly wheel making 300 r.p.m. ?
- Keeping the banking angle same to increase the maximum speed with which a vehicle can travel on a curved road by 10%…
- A 6 kg ball starts from rest and rolls down a rough gradual slope until it reaches a point 80 cm lower than its…