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Question

A man of mass 72 kg is standing at the end of the diving board of mass 28 kg as shown in figure. A and B are two supports for the board. [g=10 m/s2] 


A
Force on support A is 2520 N
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B
Force on support B is 3870 N
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C
Force on support A is 2870 N
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D
As man moves towards A, force on support B decreases.
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Solution

The correct options are
B Force on support B is 3870 N
C Force on support A is 2870 N
D As man moves towards A, force on support B decreases.

By torque equilibrium about B

NA×1=280×1.25+720×3.5

NA=2870 N

By balancing the forces in the vertical direction,
NB=NA+280+720NB=3870 N
As the man moves towards left, to balance torque, NA decreases. So, to balance, the force in the vertical direction, NB also decreases.

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