At the instant shown, point P on the cable has a velocity vP = 12 m>s, which is

Chapter 14, Problem F14-12

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QUESTION:

At the instant shown, point P on the cable has a velocity \(v_{P} = 12 \  m/s\), which is increasing at a rate of \(a_{P} = 6 \ m/s^{2}\). Determine the power input to motor M at this instant if it operates with an efficiency \(\varepsilon = 0.8\). The mass of block A is 50 kg.

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QUESTION:

At the instant shown, point P on the cable has a velocity \(v_{P} = 12 \  m/s\), which is increasing at a rate of \(a_{P} = 6 \ m/s^{2}\). Determine the power input to motor M at this instant if it operates with an efficiency \(\varepsilon = 0.8\). The mass of block A is 50 kg.

ANSWER:

Step 1 of 4

Given,

The mass of the block A,

The speed of the cable,

The acceleration of the motor,

The efficiency of the motor,

Free body diagram of the block A:

                                              A picture containing text, scale

Description automatically generated

Where  is the tension in the sting connected to the block and  is the weight of the block.

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