QUESTION #1 A.) Calculate the torque (magnitude and direction) about the front s

Question

QUESTION #1

A.) Calculate the torque (magnitude and direction) about the front support post (B) of a diving board(Figure 1) , exerted by a 53

kg person 3.0 m from that post.

B.) clockwise or counterclockwise?

Question #2

Three children are trying to balance on a seesaw, which consists of a fulcrum rock, acting as a pivot at the center, and a very light board 4.1m long(Figure 1) . Two playmates are already on either end. Boy A has a mass of 50 kg, and girl B a mass of 35 kg.

Where should girl C, whose mass is 25 kg, place herself so as to balance the seesaw?

Calculate the torque (magnitude and direction) about the front support post (B) of a diving board(Figure 1) , exerted by a 53 kg person 3.0 m from that post. clockwise or counterclockwise? Three children are trying to balance on a seesaw, which consists of a fulcrum rock, acting as a pivot at the center, and a very light board 4.1m long(Figure 1) . Two playmates are already on either end. Boy A has a mass of 50 kg, and girl B a mass of 35 kg. Where should girl C, whose mass is 25 kg, place herself so as to balance the seesaw?

Explanation / Answer

torque = 3*530 = 1590 N-m

clockwise

2.

It will be assumed that Girl C will be on the right side of the seesaw (same side as Girl B) to balance the seesaw.

Let

x = distance from the center of the seesaw where Girl C will be positioned.

Take summation of moments about the center of the seesaw. Since the system is in equilibrium, the summation of moments will be equal to zero. Hence,

50(2.05) = 25(x) + 35(2.05)

Simplifying the above,

25x = 30.75

x = 30.75/25

x = 1.23 m

Girl C should be positioned at 1.23 m from the center of the seesaw.

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