Now, consider that the rope tension balancing the torque is at an angle 0 = 120°, rather than being vertical. a) State whether the magnitude of this new force F' needs to be larger, smaller, or the same size as the previous (vertical) force F in order to balance the seesaw, and justify your answer. m₂ M 2 F' P L b) Calculate the new force F' in terms of M, m₂, ₂ r, L, 0, and g, and then plug in the values from slide 2, to confirm your answer to part (a).

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Chapter1: Units, Trigonometry. And Vectors
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I would really appreciate an answer for the parts. The upward force of equilibrium from slide 2 should be about 2156N

Consider the same seesaw (M = 40 kg and length L = 5.0 m), but now the pivot P is at the far end with a child of m₂ = 30 kg sitting a distance r, =
4.0 m to the left of the pivot. To balance the net torque on the beam, a perpendicular rope that can exert a torque via upwards tension force is
attached to the beam at a distance r = 1.0 m from the pivot. Calculate the upward force F (tension in the rope) in terms of M, m₂, r₂, r, L, and g,
and then plug in the values above to find the force F that is needed for equilibrium.
m₂
M
L
2
-I
F
P
Transcribed Image Text:Consider the same seesaw (M = 40 kg and length L = 5.0 m), but now the pivot P is at the far end with a child of m₂ = 30 kg sitting a distance r, = 4.0 m to the left of the pivot. To balance the net torque on the beam, a perpendicular rope that can exert a torque via upwards tension force is attached to the beam at a distance r = 1.0 m from the pivot. Calculate the upward force F (tension in the rope) in terms of M, m₂, r₂, r, L, and g, and then plug in the values above to find the force F that is needed for equilibrium. m₂ M L 2 -I F P
Now, consider that the rope tension balancing the torque is at an angle 0 = 120°, rather than being vertical.
a) State whether the magnitude of this new force F' needs to be larger, smaller, or the same size as the previous (vertical) force F in order to balance
the seesaw, and justify your answer.
r
m₂
0
M
2
F₁
P
L
b) Calculate the new force F' in terms of M, m₂, r₂, r, L, 0, and g, and then plug in the values from slide 2, to confirm your answer to part (a).
Transcribed Image Text:Now, consider that the rope tension balancing the torque is at an angle 0 = 120°, rather than being vertical. a) State whether the magnitude of this new force F' needs to be larger, smaller, or the same size as the previous (vertical) force F in order to balance the seesaw, and justify your answer. r m₂ 0 M 2 F₁ P L b) Calculate the new force F' in terms of M, m₂, r₂, r, L, 0, and g, and then plug in the values from slide 2, to confirm your answer to part (a).
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