Question

The torsional spring at A has a stiffness $k_T = 11 \text{ N\cdot m/rad}$ and is undeformed when the uniform 11-kg bars OA and AB are in the vertical position and overlap. If the system is released from rest with $\theta = 52^\circ$, determine the magnitude of the angular velocity of wheel B when $\theta = 34^\circ$. The 7-kg wheel at B has a centroidal radius of gyration of 40 mm and is observed to roll without slipping on the horizontal surface.

Name: The torsional spring at A has a stiffness kT = 11 N· m/rad and is undeformed when the uniform 11-kg bars OA and AB are in the vertical position and overlap. If the system is released from rest with θ = 52^∘, determine the magnitude of the angular velocity of wheel B when θ = 34^∘. The 7-kg wheel at B has a centroidal radius of gyration of 40 mm and is observed to roll without slipping on the horizontal surface.
Uploaded: 2021-10-26T15:50:41-08:00
Duration: 1 min 7 s
Channel: Manish Jain

          The torsional spring at A has a stiffness $k_T = 11 \text{ N\cdot m/rad}$ and is undeformed when the uniform 11-kg bars OA and AB are in the vertical position and overlap. If the system is released from rest with $\theta = 52^\circ$, determine the magnitude of the angular velocity of wheel B when $\theta = 34^\circ$. The 7-kg wheel at B has a centroidal radius of gyration of 40 mm and is observed to roll without slipping on the horizontal surface.

The torsional spring at A has a stiffness kT = 11 N· m/rad and is undeformed when the uniform 11-kg bars OA and AB are in the vertical position and overlap. If the system is released from rest with θ = 52^∘, determine the magnitude of the angular velocity of wheel B when θ = 34^∘. The 7-kg wheel at B has a centroidal radius of gyration of 40 mm and is observed to roll without slipping on the horizontal surface.

Added by Paul J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Manish Jain

10/26/2021

Step 1

The initial potential energy of the system can be calculated as the sum of the potential energy of the bars OA and AB and the potential energy stored in the torsional spring at A. Potential energy of bar OA: U_OA = m*g*h_OA where m = 11 kg (mass of bar OA), g = Show more…

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The torsional spring at A has a stiffness k_(T)=11N*(m)/(r)ad and is undeformed when the uniform 11-kg bars OA and AB are in the vertical position and overlap. If the system is released from rest with heta =52deg , determine the magnitude of the angular velocity of wheel B when heta =34deg . The 7-kg wheel at B has a centroidal radius of gyration of 40mm and is observed to roll without slipping on the horizontal surface. Answer: omega _(B)= ra(d)/(s) The torsional spring at A has a stiffness k = 11 N-m/rad and is undeformed when the uniform 11-kg bars OA and AB are in the vertical position and overlap. If the system is released from rest with O=52,determine the magnitude of the angular velocity of wheel B when 6 = 34. The 7-kg wheel at B has a centroidal radius of gyration of 40 mm and is observed to roll without slipping on the horizontal surface. 655 mm 655 mm 70 mm Answer: WB rad/s