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Question

An $8-\text{kg}$ uniform $\operatorname{rod} A B$ is hinged to a fixed support at $A$ and is attached by means of pins $B$ and $C$ to a 12-kg disk of radius $400 \mathrm{~mm}$. A spring attached at $D$ holds the rod at rest in the position shown. If point $B$ is moved down $25 \mathrm{~mm}$ and released, determine (a) the period of vibration, $(b)$ the maximum velocity of point $B$.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 15**Given:**

- Mass of the rod: $m_{r}=8\text{ kg}$;
- Mass of the disk: $m_d=12\text{ kg}$;
- Radius of the disk: $r=0.4\text{ m}$;
- Constant of the spring: $k=800\ \mathrm{\frac Nm}$;
- Deflection of end B: $\delta=0.025\text{ m}$;
- Figure in the task.

**Required:**

a) Period. b) Velocity.

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