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Problem 10: Consider the yo-yo (of mass M and outer radius R) shown in the figure, where the string is being pulled with a force of magnitude F (F < M g) at an angle 0 to the horizontal. The radius of the inner axis is r (so that r< R). Assume that the angle ranges from 0 to a/2, and the coefficient of static friction with the ground is very large.

Problem 10: Consider the yo-yo (of mass M and outer radius R) shown in the figure, where the string is being pulled with a force of magnitude F (F < M g) at an angle 0 to the horizontal. The radius of the inner axis is r (so that r< R). Assume that the angle ranges from 0 to a/2, and the coefficient of static friction with the ground is very large.

College Physics
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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Please answer question 10

Problem 10: Consider the yo-yo (of mass M and outer radius R) shown in the figure, where the string is being pulled with a force of magnitude F (F < M g) at an angle 0 to the horizontal. The radius of the inner axis is r (so that r <R). Assume that the angle ranges from 0 to a/2, and the coefficient of static friction with the ground is very F large. Part (a) In what direction will the yo-yo roll? MultipleChoice : 1) To the left. 2) It cannot be determined; it depends on the angle 0. 3) It will stay motionless but spin. 4) It cannot be determined; it depends on the magnitude of force F. 5) To the right Part (b) Enter an expression for the critical angle (in radians, between 0 and t / 2) at which the yo-yo will remain motionless. Use y =r /R to simplify your expression. Expression : Oc = Select from the variables below to write your expression. Note that all variables may not be required. acos(y), asin(y), atan(y), cos(a), cos(@), cos(0), sin(a), sin(o), sin(0), a, ß, y, n, 0, d, g, h, m, n, t Part (c) Calculate this critical angle Oc, in degrees, if the yo-yo has an outer radius of 3.8 cm and an inner radius of 0.79 cm. Numeric : A numeric value is expected and not an expression.
Transcribed Image Text:Problem 10: Consider the yo-yo (of mass M and outer radius R) shown in the figure, where the string is being pulled with a force of magnitude F (F < M g) at an angle 0 to the horizontal. The radius of the inner axis is r (so that r <R). Assume that the angle ranges from 0 to a/2, and the coefficient of static friction with the ground is very F large. Part (a) In what direction will the yo-yo roll? MultipleChoice : 1) To the left. 2) It cannot be determined; it depends on the angle 0. 3) It will stay motionless but spin. 4) It cannot be determined; it depends on the magnitude of force F. 5) To the right Part (b) Enter an expression for the critical angle (in radians, between 0 and t / 2) at which the yo-yo will remain motionless. Use y =r /R to simplify your expression. Expression : Oc = Select from the variables below to write your expression. Note that all variables may not be required. acos(y), asin(y), atan(y), cos(a), cos(@), cos(0), sin(a), sin(o), sin(0), a, ß, y, n, 0, d, g, h, m, n, t Part (c) Calculate this critical angle Oc, in degrees, if the yo-yo has an outer radius of 3.8 cm and an inner radius of 0.79 cm. Numeric : A numeric value is expected and not an expression.
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