Question

the force is applied to a rope which wraps around a hip with a radius of 200 mm. the disk has a mass of 30 kg. the disk moves in a vertical plane and has a radius of gyration of mass of 0.5 m with respect to a horizontal axis through the mass centre perpendicular to the plane of motion. the magnitude of the force in newtons is given by the ex- pression , where t is in seconds. the sys- tem is released from rest when t is zero. when t

Answer 1

These physics problems require understanding rotational dynamics, including moment of inertia, torque, angular velocity, and the work-energy theorem to solve for rotational motion variables.

Step-by-step explanation:

The questions provided address different scenarios involving rotational dynamics and the laws of motion. Specifically, they require an understanding of concepts such as the moment of inertia, torque, angular velocity, and the work-energy theorem to solve problems related to rotating bodies and forces applied to them.

For example, the use of the work-energy theorem to find the angular velocity of a cylinder involves calculating the work done by a force on the cylinder and equating it to the change in kinetic energy. Similarly, to find the angular velocity of a rod after the beads slide outward, one must apply the principle of the conservation of angular momentum.