Moment of inertia of a uniform circular disc about a diameter is I. Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be
5 I
3 I
6 I
4 I
A cart of mass M is tied to one end of a massless rope of length 10 m. 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 car at x = 10 m. If the man pulls the cart by the rope, the man and the cart will meet at the point.
they will never meet
x = 10 m
x = 5m
x = 0
A ball of mass 0.25 kg attached to the end of a string of length 1.96 m 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 ?
14 m/s
3 m/s
3.92 m/s
5 m/s
The angular momentum of a body with mass ( m) moment of inertia ( I ) and angular velocity ( ω ) rad/s is equal to ____.
I ω
Iω2
I/ω
I/ω2
O is the centre of an equilateral triangle ABC. F1, F2 and F3 are three forces acting along the side AB, BC and AC as shown in figure. What should be the magnitude of F3. So that the total torque about O is zero ?
( F1 + F2 ) /2
( F1 - F2 )
(F1 + F2 )
2 (F1 + F2 )
A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ω. The force exerted by the liquid at the other end is.
MLω2
The moment of inertia of a body about a given axis is 1.2 kgm2. Initially, the body is at rest, in order to produce a rotational kinetic energy of 1500 J, 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 disc is rotating with angular velocity ω. If a child sits on it, what is conserved?
Linear momentum
Angular momentum
Kinetic energy
Moment of inertia
A weightless ladder 20 ft long rests against a frictionless wall at an angle of 60o from the horizontal. A 150 pound man is 4 ft from the top of the ladder . A horizontal force needed to keep it form slipping. Choose the correct magnitude of force from the following.?
17.3 pound
100 pound
120 pound
150 pound
The amount of inertia of uniform circular disc of radius r and mass M about an axis passing from the edge of the disc and normal to the disc
1/2 MR2
MR2
7/2 MR2
3/2 MR2
