Home
Class 12
PHYSICS
A spool with thread wound on it, of mass...

A spool with thread wound on it, of mass m, rests on a rough horizontal surface. Its moment of inertia relative to its own axis is equal to `I=gammamR^2`, where `gamma` is a numerical factor, and R is the outside radius of the spool. The radius of the wound thread layer is equal to r. The spool is pulled without sliding by the thread with a constant force F directed at an angle `alpha` to the horizontal (figure). Find:
(a) the projection of the acceleration vector of the spool axis on the x-axis,
(b) the work performed by the force F during the first t seconds after the beginning of motion.

Promotional Banner

Similar Questions

Explore conceptually related problems

A spool of inner radius R and outer radius 3R has a moment of inertia = MR^(2) about an axis passing through it's geometric centre, where M is the mass of the spool. A thread wound on the inner surface of the spool is pulled horizontally with a constant force = Mg . Find the acceleration of the point on which is being pulled assuming that the spool rolls purely on the floor. .

A spool is pulled at an angle theta with the horizontal on a rough horizontal surface as shown in the figure. If the spool remains at rest, the angle theta is equal to

A spool is pulled at an angle theta with the horizontal on a rough horizontal surface as shown in the figure. If the spool remains at rest, the angle theta is equal to

If the moment of inertia of a rigid body is numerically equal to its mass, radius of gyration is

A spool with a thread wound on it is placed on a smooth inclined plane set at an angle of 30 to the horizontal. The free end of the thread is attached to the wall as shown. The mass of the spool is m r m  200g, its moment of inertia relative to its own axis is I 0.45gm2, the radius of the wound thread layer is r 3 cm. The acceleration of the spool axis is:

The finished oblong thread of wool is wound round a

A uniform cylinder of mass m rests on two rough horizontal planks. A thread is wound on the cylinder. The hanging end of the thread is pulled vertically down with a constant force F

A spool with a thread wound on it is placed on an inclined smooth plane set an angle alpha=30^@ to the horizontal. The free end of the thread is attached to the wall as shown in figure. The mass of the spool is m=200g , its moment of inertia relative to its own axis I=0.45g*m^2 , the radius of the wound thread layer r=3.0cm . Find the acceleration of the spool axis.

A spool of mass m has moment of inertia I= 2mR^(2) about its axis of symmetry. The inner and outer radius of spool R and 2R respectively. Thread is wounded on the inner cylinder and its one end is pulled a force F acting at angle theta with horizontal. The surface is sufficiently rough and th.e spool never slides on the surface. Maximum frictional force acting on the spool is:

A spool of mass m has moment of inertia I= 2mR^(2) about its axis of symmetry. The inner and outer radius of spool R and 2R respectively. Thread is wounded on the inner cylinder and its one end is pulled a force F acting at angle theta with horizontal. The surface is sufficiently rough and th.e spool never slides on the surface. For theta=60^(@) the acceleration of spool is