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Chapter 9: Q3 CQ (page 314)

What three factors affect the torque created by a force relative to a specific pivot point?

Short Answer

Expert verified

The three factors are the force, the radius of rotation and the angle between the force and the radius of rotation.

Step by step solution

01

Torque

The torque depends on the applied force F is given by,

τ→=R→×F→

Here, is the distance of the pivot point from the point of application of the force.

02

Explanation

We again can write the torque as,

τ=RFsinθ

Here, θis the angle between the applied force and the distance of the applied force and the point of rotation.

So, the torque depends on

i) the applied force,

ii) the distance of the pivot point from the applied force and

iii) the angle between the applied force and the distance of the applied force and the pivot point.

Hence, the force, the radius of rotation, and the angle between the force and the radius of rotation are the three factors.

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Most popular questions from this chapter

Question: A person working at a drafting board may hold her head as shown inFigure 9.40, requiring muscle action to support the head. The three major acting forces are shown. Calculate the direction and magnitude of the force supplied by the upper vertebrae Fvto hold the head stationary, assuming that this force acts along a line through the center of mass as do the weight and muscle force.

Use the second condition for equilibrium(net τ=0)to calculateFPinExample 9.1, employing any data given or solved for in part (a) of the example.

If the maximum force the biceps muscle can exert is 1000N, can we pick up an object that weighs1000N? Explain your answer.

InFigure 9.21, the cg of the pole held by the pole vaulter is \(2.00\;{\rm{m}}\)from the left hand, and the hands are \(0.700\;{\rm{m}}\) apart. Calculate the force exerted by (a) his right hand and (b) his left hand. (c) If each hand supports half the weight of the pole inFigure 9.19, show that the second condition for equilibrium(net\(\tau = 0\))is satisfied for a pivot other than the one located at the center of gravity of the pole. Explicitly show how you follow the steps in the Problem-Solving Strategy for static equilibrium described above.

Two muscles in the back of the leg pull on the Achilles tendon as shown inFigure\({\rm{9}}{\rm{.37}}\). What total force do they exert?
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