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natima [27]
3 years ago
5

The uniform 100-kg I-beam is supported initially by its end rollers on the horizontal surface at A and B. by means of the cable

at C, it is desired to elevate end B to a position 3 m above end A. Determine the required tension P, the reaction at A, and the angle q made by the beam with the horizontal in the elevated position.

Physics
1 answer:
Ann [662]3 years ago
8 0

I attached a free body diagram for a better understanding of this problem.

We start making summation of Moments in A,

\sum M_A = 0

P(6cos\theta)-981(4cos\theta)=0

P=654N

Then we make a summation of Forces in Y,

\sum F_y = 0

654+R-981 = 0

R=327N

At the end we calculate the angle with the sin.

sin\theta = \frac{3m}{4m+2m+2m} = \frac{3m}{8m}

\theta = 22.02\°

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