A man pulls on a crowbar with P=200N of force, as shown. a) What is the displace

Question

A man pulls on a crowbar with P=200N of force, as shown.

a) What is the displacement vector, dcp, from point C to the oint of application of force, P?

b) What is the net moment at poitn C that is generated by the application of force P? (HINT: use cross products)

Assume no slipping or sliding and ignore friction.

(In case the picture is unclear, the angle at the top is 30 degrees)

man pulls on a crowbar with P=200N of force, as shown. What is the displacement vector, dcp, from point C to the oint of application of force, P? What is the net moment at poitn C that is generated by the application of force P? (HINT: use cross products) Assume no slipping or sliding and ignore friction.

Explanation / Answer

a) dcp = (-20in, 6in)

dcp = -20i + 6j inch = - 0.508 m i + 0.1524m j

b) F = 200cos30i + 200sin30j

moment = r x F = (0.508 m i + 0.1524m j) x (200cos30i + 200sin30j )

= - 50.8k - 26.40 = 77.20 N.m

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