You cannot assume that the tension in the ropes equals the weight of the blocks. If that were true, the masses would be in equilibrium, not accelerating.TBBTs said:
Not sure what you're doing here.TBBTs said:
Torque is only relevant for the pulley. The forces creating the torque on the pulley are the rope tensions on each side of the pulley.
For the two blocks, you'd use the usual form of Newton's 2nd law: ΣF = ma
To solve the second part, you'll need to replace the rotational inertia of the pulley with that of a hollow cylinder. Then you'd have to determine whether that causes the acceleration to increase, decrease, or remain the same. (Hint: How does the rotational inertia of a hollow cylinder compare to that of solid cylinder?)TBBTs said:
A pulley is a simple machine that consists of a wheel with a groove around its circumference and a rope or belt that runs through the groove. When a force is applied to one end of the rope, the wheel rotates, causing the object attached to the other end to move. This allows for the transfer of force and the lifting or lowering of objects.
The mechanical advantage of a pulley is the ratio of the output force to the input force. In other words, it is the amount that the force is amplified by using a pulley system. A single fixed pulley has a mechanical advantage of 1, while a movable pulley has a mechanical advantage of 2. The mechanical advantage can be increased by using multiple pulleys in a system.
To calculate the mechanical advantage of a pulley system, divide the output force by the input force. For example, if a system with a single fixed pulley has an output force of 100 pounds and an input force of 50 pounds, the mechanical advantage would be 100/50 = 2. This means that the force is doubled by using a pulley.
Yes, a pulley can change the direction of a force. When a rope is pulled down on one side of the pulley, the object attached to the other end will move up. This is because the rope changes direction as it goes around the pulley. A pulley can also change the direction of a force when used in conjunction with other pulleys in a system.
Pulleys are used in many different applications, from simple machines to complex systems. Some common examples include elevators, cranes, sailboats, and exercise equipment. They are also commonly used in construction, manufacturing, and transportation industries.
