For the shown system: θ = 54 ∘, k = 640 N/m , m = 3 kg , and the unstretched spring length is 290 mm . It is released from rest from the shown position; answer the following 1) Part A: Calculate the work of the spring force at θ=0∘. 2) Part B: Determine the angular velocity of the rod at θ=0∘. 3) Part C: Determine the angular acceleration of the rod at θ=0∘.

For the shown system: θ = 54 ∘, k = 640 N/m , m = 3 kg , and the unstretched spring length is 290 mm . It is released from rest from the shown position; answer the following 1) Part A: Calculate the work of the spring force at θ=0∘. 2) Part B: Determine the angular velocity of the rod at θ=0∘. 3) Part C: Determine the angular acceleration of the rod at θ=0∘.

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Question

For the shown system: θ = 54 ∘, k = 640 N/m , m = 3 kg , and the unstretched spring length is 290 mm . It is released from rest from the shown position; answer the following

1) Part A: Calculate the work of the spring force at θ=0∘.

2) Part B: Determine the angular velocity of the rod at θ=0∘.

3) Part C: Determine the angular acceleration of the rod at θ=0∘.

400 mm
k
200 mm
Slender Rod,
mass m kg
300 mm
200 mm

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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