Answered: HI Хsset Xoffset

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Problem 1: You have been hired to design a family-friendly see-saw. Your design will feature a uniform board (mass M, length L) 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 x_offsetfrom the end of the board when seated as shown.

You have selected a child of mass m (shown on the right), and an adult of mass n times the mass of the child (shown on the left) to test out your prototype.

Part (a) Derive an expression for the torque applied by the adult rider (on the left) in terms of given quantities and variables available in the palette. Assume counterclockwise is positive.
Expression   :
τ = __________________________________________

Select from the variables below to write your expression. Note that all variables may not be required.
α, β, θ, d, g, h, j, k, L, m, M, n, P, t, x_offset

Part (b) Derive an expression for the torque applied by the child rider (on the right) in terms of given quantities and variables available in the palette. Assume counterclockwise is positive.
Expression   :
τ = __________________________________________

Select from the variables below to write your expression. Note that all variables may not be required.
α, β, θ, d, g, h, j, k, L, m, M, n, P, t, x_offset

Part (c) Derive an expression for the torque applied by the board in terms of given quantities and variables available in the palette.
Expression   :
τ = __________________________________________

Select from the variables below to write your expression. Note that all variables may not be required.
α, β, θ, d, g, h, j, k, L, m, M, n, P, t, x_offset

Part (d) Determine the distance d in terms of n, g, and the masses and lengths in the problem.
Expression   :
d = __________________________________________

Select from the variables below to write your expression. Note that all variables may not be required.
α, β, θ, d, g, h, j, k, L, m, M, n, P, t, x_offset

Part (e) Determine the magnitude of the force exerted on the pivot point by the see-saw while in use in terms of given quantities and variables available in the palette.
Expression   :
F_net = __________________________________________

Select from the variables below to write your expression. Note that all variables may not be required.
α, β, θ, d, g, h, j, k, L, m, M, n, P, t, x_offset

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