Solve this :
14. A wheel starts rolling with an angular velocity ω up an inclined smooth plane with an initial velocity Ve. The angular velocity at the highest point where wheel stops will be : (a) same (b) greater than ω (c) lesser than ω (d) zero
(A) 3 m/sec (B) 6 m/sec (C) m/sec (D) m/sec
Solve this :
14. A wheel starts rolling with an angular velocity up an inclined smooth plane with an initial velocity Ve. The angular velocity at the highest point where wheel stops will be :
(A) 3 m/sec (B) 6 m/sec
(C) 3 m/sec (D) 3 m/sec
Q.1. A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane, Then the maximum acceleration down the plane is for (no rolling)
(A) solid sphere
(B) hollow sphere
(C) ring
(D) all same
a)What is the radius of gyration in the above case?
b) A student has to find the moment of inertia of the above rod about an axis (AB) perpendicular to the rod and passing through one end of the rod. Name and state the law used in this case.
c) Using the theorem, find the moment of inertia of the rod about AB.
6. Two small balls A and B, each of mass m, are connected by a light rod of the length L. The system is lying on a frictionless horizontal surface. The particle of mass m collides with the rod horizontally with the velocity v0 perpendicular to the and gets stuck to it as shown in the figure. Find
(a) the angular velocity of the system after the collision.
(b) the velocity of A and B immediately after the collision.
(c) the velocity of the centre of the rod when the rod rotates through 90o after the collision.