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Q17 CQ

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College Physics (Urone)
Found in: Page 315

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Short Answer

If the maximum force the biceps muscle can exert is 1000 N, can we pick up an object that weighs1000 N? Explain your answer.

The maximum force the biceps muscle can exert is1000 N , we can pick objects less than that weighs1000 N .

See the step by step solution

Step by Step Solution

Step 1: Force

A force is an external factor that can change the rest or motion of a body. It has a size and a general direction.

Step 2: Human hand as lever

The action of muscles when an object is placed on human hand palm is as shown below:

Human hand

The arm is represented by EP, elbow at E, palm at P. The load of weight L is at palm.

The muscles exert a force FM upward, at a distance l1 from E. The center of mass of the forearm and the load are at distances l2 andl3 from E.

Step 3: Calculation of force

Under the equilibrium of forces, we can write,

FW=FE+W+L1

Under the equilibrium of the moments about the point E,

FMl1=Wl2+Ll3 FM=Wl2l1+Ll3l1.2

We can write from equation (2) that I2I1 and I3I1 are greater than 1. So, the force,

FM>L

Hence, the maximum force the muscle can exert is 1000 N , it can lift only less than 1000 N.

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