Calculations for force:

A square block having 25cm side and weighing 20N is hinged at point A and rests on rollers at point B as shown in the figure given below. It is pulled by string attached at point C and inclined at 300 with horizontal. Make calculations for force P to be applied so that block gets lifted off the roller only.

Sol.: From Free body diagram the block is subjected to following set of forces.

1. Force P

2. Weight of block W

3. Reaction R_A  at hinged point

4. When block is at the state of being lifted off the roller only, reaction R_B  = 0

∑M_A = 0

- Pcos30° × 0.25 - Psin30° × 0.25 + 20 × 0.125 = 0

- 0.22 P - 0.125P + 2.5 = 0

P = 7.27N                               .......ANS

Posted Date: 10/17/2012 5:07:52 AM | Location : United States

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