question archive Two supports, made of the same material and initially of equal length, are 2

Two supports, made of the same material and initially of equal length, are 2

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Two supports, made of the same material and initially of equal length, are 2.0 m apart. A stiff board with a length of 4.0 m and a mass of 10 kg is placed on the supports, with one support at the left end and the other at the midpoint. A block is placed on the board a distance of 0.50 m from left end.As a result the board is horizontal. The mass of the block is:

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Answer:

The free body diagram will be as follows

So, for equillibrium

2R = mg + 10g = 100 + 10m ( g= 10) -----------------------eq 1

taking torque at second support = 0, we get

R x 2 = mg x 1.5

R = 7.5 m

SO, substitute in eq 1

we get

m =20 kg

Therefore, the answer is 20 kg

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