Sticking sticks. Angular Momentum. Principle Moments. Two identical uniform stic

Question

Sticking sticks. Angular Momentum. Principle Moments.

Two identical uniform sticls spina rpund their stationary centers with equal angular speeds as shown. The bottom stick is slowly rasied until its top end collides with the center of the top stick. The sticks stick together to form a rigid "T." Assume that the collion takes place when the top stick lies in the plane of the paper. Immediately after the collision, one point (in addition to the CM) on the T will instantaneously be at rest. Where is this point?

Fig, 9.58 Fig. 959 9.40. Sticking sticks Two identical uniform sticks spin around their stationary c with equal angular speeds, as shown in Fig. 9.59. The bottom stick isslowh raised until its top end collides with the center of the top stick.The sticks stick together to form a rigid "T"Assume that the collision takes place when the top stick lies in the plane of the paper. Immediately after the collision, one point in addition to the CM) on the Twill instanta be at rest. Where is this point? 9.4 Circling stick again Solve the problem in Section 9.4.2 again, but now use the CM as the

Explanation / Answer

the top end of the bottom stick and the middle of the top stick i.e. the joint where the two sticks will be joined.

they have rotations in opposite directions at the moment when the "T" is formed.

so when the T is formed, their total angular momentum will be cancelled and it will be in rest.

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