Question

A diving borad 3.00 m long is supported at a point 1.00 m fromthe end, and a diver weighing 500 N stands at the free end. The diving board is of uniform cross section and weighs 280N. A. Find the force at the support point. B. Find the force at the end that is beng held down.

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asked 2020-12-05
A diving borad 3.00 m long is supported at a point 1.00 m fromthe end, and a diver weighing 500 N stands at the free end. The diving board is of uniform cross section and weighs 280N.
A. Find the force at the support point.
B. Find the force at the end that is beng held down.

Answers (1)

2020-12-06

image
\(F_1+F_2=280+500\)

Taking torque about support point
\(\displaystyle{.5}{\left(\frac{{280}}{{3}}\right)}-{F}{1}={\left(\frac{{560}}{{3}}\right)}+{500}\cdot{2}\)
\(F_1=-1140N\)
Negative force means \(F_1\) is along downward direction
\(F_2=1920\ N\)

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