12.2 Examples of Static Equilibrium

Worked balancing setups such as ladders, beams, hinges, and the forearm, where unknown support forces drop out of the torque equation.

University Physics Volume 1, 12.2 Examples of Static Equilibrium

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6 exercises

12.2 Exercise 1

Repeat the example using the left end of the meter stick to calculate the torques; that is, by placing the pivot at the left end of the meter stick.

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12.2 Exercise 2

Repeat the example assuming that the forearm is an object of uniform density that weighs 8.896 N.

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12.2 Exercise 3

For the situation described in the example, determine the values of the coefficient $\mu_{\text{s}}$ of static friction for which the ladder starts slipping, given that $\beta$ is the angle that the ladder makes with the floor.

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12.2 Exercise 4

Solve the problem in the example by taking the pivot position at the center of mass.

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12.2 Exercise 8

Show how a spring scale and a simple fulcrum can be used to weigh an object whose weight is larger than the maximum reading on the scale.

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12.2 Exercise 15

To get up on the roof, a person (mass 70.0 kg) places a 6.00-m aluminum ladder (mass 10.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2.00 m from the bottom. The person is standing 3.00 m from the bottom. Find the normal reaction…

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