Question

4. The 40 kg pendulum has its mass center at G and a radius of gyration about point G of $k_c$=0.25 m. It is released from rest when $\theta$ = 30°. The spring is unstretched when $\theta$ = 30°. Find angular velocity of the pendulum when $\theta$ = 45°. (Draw Free Body Diagram for full credit). Conservation of energy Theorem must be used full credit. Use datum as shown on picture. All the calculations, steps and diagrams must be shown. Otherwise, the solutions will be considered incoherent.

          4. The 40 kg pendulum has its mass center at G and a radius of gyration about point G of $k_c$=0.25 m. It is released from rest when $\theta$ = 30°. The spring is unstretched when $\theta$ = 30°.
Find angular velocity of the pendulum when $\theta$ = 45°. (Draw Free Body Diagram for full credit).
Conservation of energy Theorem must be used full credit. Use datum as shown on picture. All the calculations, steps and diagrams must be shown. Otherwise, the solutions will be considered incoherent.

4. The 40 kg pendulum has its mass center at G and a radius of gyration about point G of kc=0.25 m. It is released from rest when θ = 30°. The spring is unstretched when θ = 30°.
Find angular velocity of the pendulum when θ = 45°. (Draw Free Body Diagram for full credit).
Conservation of energy Theorem must be used full credit. Use datum as shown on picture. All the calculations, steps and diagrams must be shown. Otherwise, the solutions will be considered incoherent.

Added by Timothy T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Rukhmani Jain

05/22/2022

Step 1

In the FBD, we need to consider the forces acting on the pendulum. These forces include: Show more…

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4. The 40 kg pendulum has its mass center at G and a radius of gyration about point G of kc=0.25 m. It is released from rest when = 30. The spring is unstretched when = 300. Find angular velocity of the pendulum when = 45.(Draw Free Body Diagram for full credit). Conservation of energy Theorem must be used full credit. Use datum as shown on picture. All the calculations, steps and diagrams must be shown. Otherwise, the solutions will be considered incoherent. 600mm DATUM 8