Question 9: Only systems in equilibrium have zero net torque and momentum. If a

Question

Question 9:

Only systems in equilibrium have zero net torque and momentum. If a uniform beam of length L whose mass is m = 10kg, rest with its ends on two wedges. A block whose mass is M = 20 kg placed on the beam, its center one-fourth away from the beam's left end. What are the respective forces Fl and Fr in the form Fl, Fr?

e iss a not conserved but gether, and energy was not conserved momentum was. but 9. (10 points) Only systems in equilibrium have zero net torque and momentum. If a uniform beam of length L whose mass is m 10 kg, rest with its ends on two wedges. A block whose mass is M 20 kg placed on the beam, its center on away from the beam's left end. What are the respective forces Fl and Fr in the form Fl, Fr Mg A. 150, 150 B. 200, 100 C. 100, 200 D. 250, 50 (E, 50, 250

Explanation / Answer

let F1 and Fr are reading in the scales.

As the beam is in equilibrium, net force and torque acting on the beam must be zero.

Apply net torque about right end = 0

wb*(L/2) + wc*(L - x) - F1*L = 0

F1 = (wb*(L/2) + wc*(L - x))/L

= ((100*(L/2) + 200*(L-L/4))/L

Fl= 200 N

now Apply, Fnety = 0

F1 + Fr - wb - wc = 0

Fr = wb + wc - F1

= 100 +200 - 200

Fr = 100 N

option B it is

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