If a flywheel makes 120 rev/min,then its angular speed will be
8π rad/s
6π rad/s
4π rad/s
2π rad/s
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 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
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 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 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
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
A solid sphere, disc and solid cylinder all of the same mass and made of the same material are allowed to roll down (from rest) on the inclined plane, then
solid sphere reaches the bottom first
solid sphere reaches the bottom last
disc will reach the bottom first
all reach the botom at the same time
Angular momentum is
vector (axial)
vector (polar)
scalar
None of these
The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height h from rest without sliding is