Question

A strut of length L= 3.00 m and mass m = 18.1 kg is held by a cable at an angle of θ = 28.0°

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(a) Sketch a force diagram, indicating all the forces and their placement on the strut. (Submit a file with a maximum size of 1 MB.)

(b) Why is the hinge a good place to use for calculating torques?

(c) Write the condition for rotational equilibrium symbolically, calculating the torques around the hinge. (Submit a file with a maximum size of 1 MB.)

(d) Use the torque equation to calculate the tension in the cable.
N

(e) Write the x- and y-components of Newton's second law for equilibrium on the hinge. (Submit a file with a maximum size of 1 MB.)

(f) Use the force equation to find the x- and y-components of the force on the hinge. (Assume a coordinate system with the origin at the pivot with the +x direction to the right and the +ydirection upward.)

Fx	=	N
Fy	=	N

(g) Assuming the strut position is to remain the same, would it be advantageous to attach the cable higher up on the wall? Explain the benefit in terms of the force on the hinge and cable tension.

Answer 1