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In: Physics

A uniform rod of length 2.00 m and mass 5.00 kg is suspended by two ropes...

A uniform rod of length 2.00 m and mass 5.00 kg is suspended by two ropes of negligible mass. The rope at the lower end is horizontal. The rope at the upper end makes an angle φ = 30.0◦ with the vertical. φ θ

(a) Draw a free body diagram for the rod.

(b) What is the tension in the upper rope?

(d) What is the angle θ the rod makes with the vertical?

Solutions

Expert Solution

PART (a)

PARTs (b)-(c)

Since the rod is in equilibrium, we have

From geometry

Inserting eq. (2) into (3),

From eq. (2),

PART (d)

Since the rod is in equillibrium, its net torque is zero. We will take as pivot point the lower end of the rod,

solving for

genius_generous answered 1 year ago

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