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. 1)Enter an expression for the critical angle (in radians, between 0 and π / 2) at which the yo-yo will remain motionless. Use γ = r / R to simplify your expression. 2) Calculate this critical angle θc, in degrees, if the yo-yo has an outer radius of 3.6 cm and an inner radius of 0.73 cm.
Rotational Equilibrium And Rotational Dynamics
In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.
Equilibrium of Forces
The tension created on one body during push or pull is known as force.
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.
1)Enter an expression for the critical angle (in radians, between 0 and π / 2) at which the yo-yo will remain motionless. Use γ = r / R to simplify your expression.
2) Calculate this critical angle θc, in degrees, if the yo-yo has an outer radius of 3.6 cm and an inner radius of 0.73 cm.
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