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 θ to the horizontal. The radius of the inner axis is r (so that r < R). Assume that the angle ranges from 0 to π/2, and the coefficient of static friction with the ground is very large. in what direction will the yo-yo roll? enter an expression for the critical angle(in radians, between thetha and pi/2) at which the yo-yo will remain motionless. calculate this critical angle in degrees if the yo yo has an outer radius of 3.1 cm and an inertia radius of 0.82cm

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 θ to the horizontal. The radius of the inner axis is r (so that r < R). Assume that the angle ranges from 0 to π/2, and the coefficient of static friction with the ground is very large. in what direction will the yo-yo roll? enter an expression for the critical angle(in radians, between thetha and pi/2) at which the yo-yo will remain motionless. calculate this critical angle in degrees if the yo yo has an outer radius of 3.1 cm and an inertia radius of 0.82cm

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Question

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 θ to the horizontal. The radius of the inner axis is r (so that r < R). Assume that the angle ranges from 0 to π/2, and the coefficient of static friction with the ground is very large.

in what direction will the yo-yo roll?

enter an expression for the critical angle(in radians, between thetha and pi/2) at which the yo-yo will remain motionless.

calculate this critical angle in degrees if the yo yo has an outer radius of 3.1 cm and an inertia radius of 0.82cm.