Problem: The block of mass M in the following figure slides on a frictionless surface. (Figure 1)Find an expression for the tension in the string.Express your answer in terms of the variables m, M, and appropriate constants.

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FREE Expert Solution

Newton's second law:

ΣF=ma

We'll apply Newton second law to each block. The tension in the rope is the same. The blocks have the same acceleration.

For the block of mass m:

The vertical forces are: The weight acts downward. The tension is upward. The acceleration is downward.

Take upward as positive.

ΣF = T - mg = m(-a)

T - mg = -ma Equation 1

For the block of mass M (we'll ignore vertical forces because we don't need the normal force):

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Problem Details

The block of mass M in the following figure slides on a frictionless surface. (Figure 1)

Find an expression for the tension in the string.

Express your answer in terms of the variables m, M, and appropriate constants.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Forces with Multiple Objects concept. You can view video lessons to learn Forces with Multiple Objects. Or if you need more Forces with Multiple Objects practice, you can also practice Forces with Multiple Objects practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Stancato's class at LONESTAR.