Net Torque & Sign of Torque Video Lessons

Video Thumbnail

Concept

Problem: You have been hired to design a family-friendly see-saw. Your design will feature a uniform board (mass M = 16 kg, length L = 11 m) that can be moved so that the pivot is a distance d from the center of the board. This will allow riders to achieve static equilibrium even if they are of different mass, as most people are. You have decided that each rider will be positioned so that his/her center of mass will be a distance xoffset = 16 cm from the end of the board when seated as shown. You have selected a child of mass m = 29 kg (shown on the right), and an adult of mass n =4 times the mass of the child (shown on the left) to test out your prototype.a) Determine the distance d in m.b) Determine the magnitude of the force exerted on the pivot point by the see-saw in N.

FREE Expert Solution

Torque:

τ=r·Fsinθ

The distances and the forces are perpendicular to each other. Thus, θ = 90°.

The weight of the board and the child create clockwise torque about the pivot. 

The weight of the adult creates a counterclockwise torque about the pivot.

We'll take counterclockwise as positive.

Στ = 0

94% (289 ratings)
View Complete Written Solution
Problem Details

You have been hired to design a family-friendly see-saw. Your design will feature a uniform board (mass M = 16 kg, length L = 11 m) that can be moved so that the pivot is a distance d from the center of the board. This will allow riders to achieve static equilibrium even if they are of different mass, as most people are. You have decided that each rider will be positioned so that his/her center of mass will be a distance xoffset = 16 cm from the end of the board when seated as shown. You have selected a child of mass m = 29 kg (shown on the right), and an adult of mass n =4 times the mass of the child (shown on the left) to test out your prototype.

a) Determine the distance d in m.

b) Determine the magnitude of the force exerted on the pivot point by the see-saw in N.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Net Torque & Sign of Torque concept. You can view video lessons to learn Net Torque & Sign of Torque. Or if you need more Net Torque & Sign of Torque practice, you can also practice Net Torque & Sign of Torque practice problems.