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-3.0 m- (14%) Problem 3: The uniform seesaw shown in the figure is balanced on a fulcrum located 3.0 m from the left end. The smaller boy on the right has a mass of 40 kg and the bigger boy on the left has a mass 80 kg. 5.0 m- What is the mass of the board in kilograms? Grade Summary Deductions Potential m= 0% 100%

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Answer #1

Weight of the small boy F1 = m1g = 40 * 9.81 = 392.4 N

Torque created by his force = T1 = F1 r1 = 392.4* 5 = 1962 N m

Weight of man = 80* 9.81 = 784.8 N

Torque T2 = f2 r2 = 784.4 * 3 = 2354.4 Nm

Let the mass of the board be m3

Its weight = m3 * 9.81

Torque T3 = m3* 9.81 *1

So now from balancing condition from the seesaw

Sum of torques of CW moments = sum of CCW moments

i.e M2-M3-M1 =0

2354.4– m3* 9.81 -1962

m3 = 40 kg

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