Question

To apply the equations of motion to a system that involves rotation about a fixed axis and to use this information to determine key characteristics.

The slender rod AB shown has a mass of m=57.0 kg and is being supported by a rope and pulley system stationed at C. Starting from rest (in the position shown), the rope and pulley system tug on the rod causing it to rotate about A. The torque applied to the pulley is T=2.25 kN⋅m and has an effective moment arm of r=0.160 m. The dimensions shown in the figure are l=2.40 m and h=1.30 m. Assume the pulley is frictionless and massless.

Part A)

Determine the angular acceleration of the rod the instant the rope and pulley system have pulled the rod through an angle of θ=3.30∘.

Part B)

Determine the normal component of the reaction the rod exerts on the pin at A. Use the coordinate system set up by the free-body diagram below.

Part C)

Determine the tangential component of the reaction the rod exerts on the pin at A. Use the coordinate system set up by the free-body diagram below.

The slender rod AB shown has a mass of m 57.0 kg and is being supported by a rope and pulley system stationed at C. Starting from rest (in the position shown), the rope and pulley system tug on the rod causing it to rotate about A. The torque applied to the pulley is T-2.25 kN·m and has an effective moment arm of r0.160 m. The free-body diagram below dimensions shown in the figure are l 2.40 m and h 1.30 m. Assume the pulley is frictionless and massless. gure 1 of 1 Express your answer to three significant figures and include the appropriate units View Available Hint(s) Units AValue Submit

Answer 1

90-e λε 90-

ˋ穷 2.5 KNn2 o-160n) F406s KN Sivre BC gino-0) Sinf 1. 30 n 40-3-30) 8in/ -0.4873 2 163 Take momnnt about foink A

сх 8Co2.72) I4.of25 conßt cor 16.4096

APP 11 189.-768 Nj An bnaa hally Ση.mnd 9860.270