Question

16–33. The rope of diameter d is wrapped around the tapered drum which has the dimensions shown. If the drum is rotating at a constant rate of v, determine the upward acceleration of the block. Neglect the small horizontal displacement of the block.

Answer 1

The question involves finding the acceleration of blocks and tension in the rope in various physics scenarios using Newton's laws and concepts of rotational motion.

Step-by-step explanation:

The student is asking about the acceleration and tension in a rope in various physics problems involving Newton's laws and rotational motion. In this context:

• (a) When two blocks are connected by a rope and one is hanging, the acceleration of the system can be found using Newton's second law by considering the system's net force and total mass.
• (b) The tension in the rope is typically found by analyzing the forces acting on either block separately.
• (c) For rotational motion, such as a cylinder with a force applied, the angular velocity can often be calculated using the work-energy theorem, or in the case of a constant force (like gravity), by applying torque and angular acceleration concepts.

For specific systems, the acceleration and tension would directly depend on the masses involved and the geometric configuration (like the Atwood's machine or an inclined plane).