Question

A 1,300–N uniform boom at

ϕ = 60.0°

to the horizontal is supported by a cable at an angle

θ = 30.0°

to the horizontal as shown in the figure below. The boom is pivoted at the bottom, and an object of weight

w = 1,950 N

hangs from its top.

A boom of length l with its bottom end on a pivot is shown. The boom points up and to the right and makes an angle ϕ with the horizontal. An object of weight whangs from the right end of the boom. A cable extends from the wall on the left and connects to the boom at a distance of 3⁄4 lfrom the pivot. The cord makes an angle θ with the horizontal.

(a) Find the tension in the support cable.
kN

(b) Find the components of the reaction force exerted by the pivot on the boom. (Assume the positive x-direction is to the right and the positive y-direction is upward. Include the sign of the value in your answer.)

horizontal component=

vertical component=

Answer 1