Which of the following are true regarding angular momentum and linear momentum.

Question

Which of the following are true regarding angular momentum and linear momentum. A. They are always conserved as a sum, but the angular momentum and linear momentum are not conserved separately. B. They are always conserved as a product, but the angular momentum and linear momentum are not conserved separately. C. They are always conserved separately: that is linear momentum is conserved and does not affect angular momentum and vice versa. D. Only linear momentum is conserved, angular momentum is not. E. They are always both exactly zero. Below we see a massless see-saw with different weights on either end. The system is in static equilibrium. Given that the total weight of m1, m2 and m3 is 20 kg, and m1 is 2.5 kg and m2 is 10 kg. Solve for x. A. x = 1/3 m B. x = 1/2 m C. x = 1 m D. 1.5 m E. x = 2 m

Explanation / Answer

Solution:

20.

As, the see-saw is in equilibrium,

=> Net torque about point O = 0

=> m2g (2) = m1g (2) + m3g (x)

=> 20 = 5 + (20- (10+2.5))x

=> 15 = 7.5 x

=> x = 2 m

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