MCQs: Balanced beams
1. The diagram shows a balanced beam.
The mass m is
1 x 20 = 30 x m
m = 2/3
2. Calculate the force F fo the balanced beam below.
10 x 3 = 4 x F
F = 30/4 N
3. Calculate the force F fo the balanced beam below.
10 x 2 = 2 x 2 + 4F
4F = 20 - 4 = 16
4. Calculate the force F fo the balanced beam below.
.
10 x 4 = 2 x 2 + 4F
4F = 36 N
5. Calculate the force F fo the balanced beam below.
10 x 4 = 2 x 2 + 2F
F = 36/2 N
6. On which marker must a 20 N downward force be applied in order to balance the beam below.
10 x 4 = 20 x L
L = 2 cm to the right of the pivot
7. Calculate the mass of the balanced beam below.
Weight acts at the centre (5cm mark)
10 x 2 = W x 2
W = 10 N = mg
8. If the mass of the balanced beam below is 1 kg what is the magnitude of force F?
6F + 3 x 10 = 20 x 2
6F = 10 N
9. If the weight of the balanced beam below is 10 N calculate the force exerted by support A.
Taking moments about B
4F = 10 x 3
F = 30/4 N
10. A 2 kg mass sits on the 1kg beam shown below. Calculate the force exerted by support B.
Taking Torques about A
20 x 2 + 10 x 3 = 6F
F = 70/6 N