A 25-ft crane supported at its lower end by a elevated by a horizontal cable. A

Question

A 25-ft crane supported at its lower end by a elevated by a horizontal cable. A 250-lb load is suspended through the cable. The center of gravity of the crane is 10 ft from the pin, and the crane weighs 200 lb. Find the total force acting on the pin. Find the direction of the force acting on the pin, phi = ? A figure skater started his spinning at 3rev/sec initially with rotational inertia 38 kgm^2 .Then he pulled his arms closer toward the center of his body to decrease the moment of inertia to 22 kgm^2 What is the final spinning in rev/sec? An Aluminum cable of length 3.5 m has 15,000 N tensile force acting on it, if the wire is only allowed to be stretched by 1 mm before it breaks, what must be the radius of the wire if the Young's modulus of AI is 6.9 times 10^10 N/m^2?

Explanation / Answer

27) lets find tension first.

T *L cos 60 degree = 250*L* sin 60degree + 200*L/2 sin 60 degree

T = 350* tan 60 degree = 606.2 lb

Fx= 606.2lb , Fy = 200+250 = 450lb

Angle = arctan((200+250)/606.2)

= 36.6 degree with x axis

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