A spherical solid ball of mass 1 kg and radius 3cm is rotating about an axis passing through its centre with an angular velocity of 50 rad s-1. The kinetic energy of rotation is
9/8 j
9/20 j
90 j
4500 j
The moment of inertia of a straight thin rod of mass M and length L about an axis perpendicular to its length and passing through its end is
ML2
A solid cylinder of mass M and radius R rolls down an inclined plane of height h without slipping. The speed of its centre of mass when it reaches the bottom is
A cart of mass M is tied to one end of a massless rope of length 10m. The other end of the rope is in the hands of a man of mass M. The entire system is on a smooth horizontal surface. The man is at x = 0 and the cart at x = 10m. If the man pulls the cart by the rope, the man and the cart will meet at the point
they will never will meet
x = 10 m
x = 5 m
x = 0
A spherical ball rolls on a table without slipping. Then the fraction of its total energy associated with rotation is
The moment of inertia of a body about a given axis is 1.2kg-m2. Initially, the body is at rest. In order to produce a rotational kinetic energy of 1500J, an angular acceleration of 25 rad/s2 must be applied about that axis for a duration of
4 s
2 s
8 s
10 s
In a rectangle ABCD (BC = 2AB). The moment of inertia is minimum alog axis through
BC
BD
HF
EG
The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height h from rest without sliding is
A ball of mass 0.25kg attached to the end of a string of length 1.96m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved?
14m/s
3 m/s
3.92 m/s
5 m/s
ABC is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. IAB - IBC and ICA are the moments of inertia of the plate about AB, BC and CA as axes respectively. Which one of the following relations is correct?
IAB > IBC
IBC > IAC
IAB + IBC = ICA
ICA is maximum
