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To practice Tactics Box 5.3 Working with ropes and pulleys. Objects are often co

ID: 1321070 • Letter: T

Question

To practice Tactics Box 5.3 Working with ropes and pulleys.

Objects are often connected by strings, ropes, cables, and so on. In many problems, the masses of the strings or ropes are significantly less than the masses of the objects they pull on. If, in addition, the strings or ropes pass over pulleys with negligible masses that turn almost freely on their axles, we can make two powerful simplifying assumptions:

The strings are massless, and

The pulleys are idealthat is, the pulleys are massless and there is no friction where they turn on their axles.

This Tactics Box collects some known properties of massless ropes, ideal pulleys, and tension into three rules that are used extensively in solving problems with ropes, strings and pulleys.

Part C

Add the forces acting on the weight to find its mass, mW.

Express your answer in terms of some or all of the variables F, mB and g.

To practice Tactics Box 5.3 Working with ropes and pulleys. Objects are often connected by strings, ropes, cables, and so on. In many problems, the masses of the strings or ropes are significantly less than the masses of the objects they pull on. If, in addition, the strings or ropes pass over pulleys with negligible masses that turn almost freely on their axles, we can make two powerful simplifying assumptions: The strings are massless, and The pulleys are ideal½that is, the pulleys are massless and there is no friction where they turn on their axles. This Tactics Box collects some known properties of massless ropes, ideal pulleys, and tension into three rules that are used extensively in solving problems with ropes, strings and pulleys. Part C Add the forces acting on the weight to find its mass, mW. Express your answer in terms of some or all of the variables F, mB and g.

Explanation / Answer

Let the tension in the string joining B and W be T

Assuming the system is in equilibrium,

F = mB*g + T

T = F - mB*g

considering block W, we get

T = mW*g

mW*g = F - mB*g

mW = F/g - mB

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