A rod of length 1 m is pivoted at its centre. Two masses of 5 kg...

A rod of length

1 \text{ m}

is pivoted at its centre. Two masses of

5 \text{ kg}

and

2 \text{ kg}

hang from its ends as shown in the figure. The rod itself has a mass of

1 \text{ kg}

distributed uniformly along its length, and it is initially horizontal. (a) Find the initial angular acceleration of the rod. (b) Find the tension in the supports to the

2 \text{ kg}

and

5 \text{ kg}

blocks.

A rod of length 1 m is pivoted at its centre. Two masses of 5 kg and 2 kg hang from its ends as shown in the figure.

Options

A $\alpha = 8.0 \text{ rad/s}^2$ , $T_{2\text{ kg}} = 27.6 \text{ N}$ , $T_{5\text{ kg}} = 29 \text{ N}$
B $\alpha = 6.5 \text{ rad/s}^2$ , $T_{2\text{ kg}} = 24 \text{ N}$ , $T_{5\text{ kg}} = 26 \text{ N}$
C $\alpha = 10.0 \text{ rad/s}^2$ , $T_{2\text{ kg}} = 30 \text{ N}$ , $T_{5\text{ kg}} = 32 \text{ N}$
D $\alpha = 8.0 \text{ rad/s}^2$ , $T_{2\text{ kg}} = 29 \text{ N}$ , $T_{5\text{ kg}} = 27.6 \text{ N}$

Correct answer

A. $\alpha = 8.0 \text{ rad/s}^2$ , $T_{2\text{ kg}} = 27.6 \text{ N}$ , $T_{5\text{ kg}} = 29 \text{ N}$

Step-by-step solution

8.0 \text{ rad/s}^2

27.6 \text{ N}

29 \text{ N}

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