a. Find the mass of the yoyo in terms of ρ and R only. b. Find the moment of inertia of the yoyo in terms of M and R onl
Posted: Mon May 23, 2022 12:01 pm
a. Find the mass of the yoyo in terms of ρ and R only.
b. Find the moment of inertia of the yoyo in terms of M and R only. (You may want to first find the moment of inertia of the yoyo in terms of ρ and R, then substitute out ρ using the result of part a.) c. The yoyo is now placed on an incline of angle θ and tension T is applied to the string parallel to the incline and the yoyo rolls without slipping. Apply Newton's 2nd Law to write down 3 equations regarding the x and y components of forces and the torque about its axle. Take the direction along the incline as the x direction and express your answer in terms of M, c, T, R and θ.) Express the acceleration of the center of mass of the yoyo in terms of M, T, R and θ.
d. What is the critical condition on θ for the yoyo to roll up the incline instead of rolling down?
R H ANR/2 T 0
b. Find the moment of inertia of the yoyo in terms of M and R only. (You may want to first find the moment of inertia of the yoyo in terms of ρ and R, then substitute out ρ using the result of part a.) c. The yoyo is now placed on an incline of angle θ and tension T is applied to the string parallel to the incline and the yoyo rolls without slipping. Apply Newton's 2nd Law to write down 3 equations regarding the x and y components of forces and the torque about its axle. Take the direction along the incline as the x direction and express your answer in terms of M, c, T, R and θ.) Express the acceleration of the center of mass of the yoyo in terms of M, T, R and θ.
d. What is the critical condition on θ for the yoyo to roll up the incline instead of rolling down?
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