At any instant, a rolling body may be considered to be in pure rotation about an axis through the point of contact. This axis is translating forward with speed
equal to centre of mass
zero
twice of centre of mass
Data is insufficient
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
A couple produces
no motion
linear and rotational motion
purely rotational motion
purely linear motion
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
If a sphere is rolling, the ratio of the transiational energy to total kinetic energy is given by
7 : 10
2 : 5
10 : 7
5 : 7
A solid homogeneous sphere of mass M and radius R is moving on a rough horizontal surface, partly rolling and partly sliding. During this kind of motion of the sphere
total kinetic energy is conserved
the angular momentum of the sphere about the point of contact with the plane is conserved
only the rotational kinetic energy about the centre of mass is conserved.
angular momentum about the centre of mass is conserved
A ring of mass m and radius r rotates about an axis passing through its centre and perpendicular to its plane with angular velocity ω. Its kinetic energy is
½mr2ω2
mrω2
mr2ω2
½ mr2ω
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
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