1. A person is standing on a rigid, 10 kg board that measures 1m in length. The

Question

1. A person is standing on a rigid, 10 kg board that measures 1m in length. The board rests on two scales. The person is .67 m from the left. What is the persons mass in kg if the left scale reads 500 N?
2. An object is acted upon by two (and only two) forces that are of equal magnitude and oppositely directed. Is the object necessarily in static equilibrium?
3. A 1m long massless pole has weight attached at both ends. One is 10 kg and the other is 2.4 kg. How far away from the smaller weight is this object's center of gravity?

Explanation / Answer

(1)

Mass on board = M = m + 10 kg

Board Length = 1 m

Left Scale read = 500 N

The person is 0.67 m from the left

reading in left scale = (0.33m/1m)(M) = 500N

M = 500/(0.33*9.8)

M = 154 kg

m = 144kg

(2)

It just means that the object has a net force equal to 0; meaning that it is not accelerating. But, it could very well be moving.

(3)

Centre of Gravity = xcm = (10 x 1)/12.4

xcm = 0.80 m

Distance from smaller weight = 0.80 m

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