Rotational MotionHard
Question
A plank with a uniform sphere placed on it, rests on a smooth horizontal plane. Plank is pulled to right by a constant force F. If the sphere does not slip over the plank
Options
A.Acceleration of centre of sphere is less than that of the plank
B.Acceleration of centre of sphere is greater than the plank because friction acts rightward on the sphere
C.Acceleration of the centre of sphere may be towards left
D.Acceleration of the centre of sphere relative to plank may be greater than that of the plank relative to floor
Solution
Force diagram of plank and sphereForce diagram of plank and sphere
f = m2ac ⇒ f × r =
m2r2α also ap = a
rα + ac = a ∴ ac =
a
f = m2ac ⇒ f × r =
m2r2α also ap = arα + ac = a ∴ ac =
aCreate a free account to view solution
View Solution FreeMore Rotational Motion Questions
A body of mass 10 kg and radius of gyration 0.1 m is rotating about an axis. If angular speed is 10 rad/s, then angular ...When a mass is rotating in a plane about a fixed point, its angular momentum is directed along...In an experiment with a beam balance an unknown mass m is balanced by two known masses of 16kg and 4 kg as shown in figu...A small disc of radius R/3 is removed from a circular disc of radius R and mass 9M. Then the moment of inertia of the re...For the same total mass, which of the following will have the largest moment of inertia about an axis passing through th...