1. The problem statement, all variables and given/known data
Two supports, made of the same material and initially of equal length, are 2.0m apart. A stiff
board with a length of 4.0m 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
0.50m from the left end. As a result the board is horizontal. The mass of the block is:
A. zero
B. 2.3kg
C. 6.6kg
D. 10 kg
E. 20 kg
2. Relevant equations
∑F = 0 = N1 + N2 - mg - Mg
∑τ = 0 = -1/2 N1 + 1/2 N2 - 1/2 Mg
3. The attempt at a solution
Those equations above are a result of a free body diagram I drew. However, if I begin to solve the equation for m, I end up with an expression in terms of N1 (ie. 2N1 = mg). Is there enough information in the question? By the way, I'm calculating torque from the position where the mass is placed.
Two supports, made of the same material and initially of equal length, are 2.0m apart. A stiff
board with a length of 4.0m 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
0.50m from the left end. As a result the board is horizontal. The mass of the block is:
A. zero
B. 2.3kg
C. 6.6kg
D. 10 kg
E. 20 kg
2. Relevant equations
∑F = 0 = N1 + N2 - mg - Mg
∑τ = 0 = -1/2 N1 + 1/2 N2 - 1/2 Mg
3. The attempt at a solution
Those equations above are a result of a free body diagram I drew. However, if I begin to solve the equation for m, I end up with an expression in terms of N1 (ie. 2N1 = mg). Is there enough information in the question? By the way, I'm calculating torque from the position where the mass is placed.
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