Math  /  Algebra

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One end of a string of negligible mass is wrapped around a pulley and the other end is connected to a hanging block of mass mm. A motor exerts a torque of magnitude τ\tau on the pulley and causes it to rotate in the clockwise direction, lifting the block. The radius of the pulley is RR and the rotational inertia of the pulley is II. Which of the following equations accurately represents this scenario and could be used to solve for the angular acceleration α\alpha of the pulley? (A) τm(αRg)R=Iα\tau-m(\alpha R-g) R=I \alpha (B) τm(αR+g)R=Iα\tau-m(\alpha R+g) R=I \alpha (C) τmαR2=Iα\tau-m \alpha R^{2}=I \alpha (D) τ+mαR2=Iα\tau+m \alpha R^{2}=I \alpha

Studdy Solution
The correct equation is (B): τm(αR+g)R=Iα.\tau - m(\alpha R + g)R = I\alpha.

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