Two identical massless rods of length 40 cm each are fixed to a rigid horizontal surface at points A & B so that AB = 35 cm. Two identical point masses m = 1 kg each are permanently attached to the other ends of the rods as shown in the figure. The rods are connected to each other by a massless spring of force constant k = 100 N/m. The spring is attached to the point P & Q of the rods where AP = BQ = 25 cm. Assume that the free length of the spring is 35 cm and it obeys Hooke's law. The rods are initially held at rest in a position when the angle $θ$ made by each rod with the horizontal is equal to $37 ° .$ The rods are suddenly released from rest. The motion takes place in a vertical plane.

Question

Infinity Learn · Accepted Answer

The angular acceleration of rods when $θ = 90^{\circ}$ is zero.

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The angular velocity of rods when $θ = 90^{\circ}$ is approximately 8.36 rad/s.

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The acceleration of point masses just after the system is released is approximately $23 m / s^{2}$ .

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