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QUESTION 5 [20 MARKS] pulley ? chapter 12 ? datum The motion of the uniform 40 kg door as shown in Figure 5 is guided at its ends by the track. If it is released from rest at $\theta = 0^\circ$, determine the door's angular velocity at the instant $\theta = 30^\circ$. The spring is originally stretched 0.3 m when the door is held open, $\theta = 0^\circ$. Assume the door can be treated as a thin plate, and there is a spring and pulley system on each of the two sides of the door. k = 150 N/m

          QUESTION 5 [20 MARKS]

pulley
? chapter 12
? datum
The motion of the uniform 40 kg door as shown in Figure 5 is guided at its ends by the track.
If it is released from rest at $\theta = 0^\circ$, determine the door's angular velocity at the instant $\theta = 30^\circ$.
The spring is originally stretched 0.3 m when the door is held open, $\theta = 0^\circ$. Assume the door
can be treated as a thin plate, and there is a spring and pulley system on each of the two sides
of the door.
k = 150 N/m

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QUESTION 5 [20 MARKS]

pulley
? chapter 12
? datum
The motion of the uniform 40 kg door as shown in Figure 5 is guided at its ends by the track.
If it is released from rest at θ = 0^∘, determine the door's angular velocity at the instant θ = 30^∘.
The spring is originally stretched 0.3 m when the door is held open, θ = 0^∘. Assume the door
can be treated as a thin plate, and there is a spring and pulley system on each of the two sides
of the door.
k = 150 N/m

Added by Carolina G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Rahul Kumar

Step 1

3 m. The potential energy stored in a spring is given by the formula: PE = (1/2)kx^2, where k is the spring constant and x is the displacement from the equilibrium position. Given that k = 150 N/m and x = 0.3 m, we can calculate the potential energy stored in the Show more…

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QUESTION 5 [20 MARKS] The motion of the uniform 40 kg door, as shown in Figure 5, is guided at its ends by the track. If it is released from rest at t = 0, determine the door's angular velocity at the instant t = 300. The spring is originally stretched 0.3 m when the door is held open, t = 0. Assume the door can be treated as a thin plate, and there is a spring and pulley system on each of the two sides of the door. k = 150 N/m B 2.4 m 2.4 m A

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