Question

1. Show all your work for each part of the question. The parts within the question may not have equal weight. Pulley String Fs Figure 1 A pulley is made from a solid disk that can rotate with negligible friction about a fixed axle at its center, as shown in Figure 1. The pulley has mass M and radius R, and its mass is distributed such that its rotational inertia is 1/2 MR^2 about its center. A string is wrapped around the pulley, and a downward force of magnitude Fs is exerted on the end of the string. (a) i. The circle in Figure 2 represents the pulley. On Figure 2, draw and label arrows that represent the forces (not components) that are exerted on the pulley while the force of magnitude Fs is exerted on the string. Each force must be represented by a distinct arrow starting on, and pointing away from, the point at which the force is exerted on the pulley. Figure 2 ii. Using Newton's second law in rotational form, derive an expression for the tangential acceleration of a point located on the outer edge of the pulley. Express your answer in terms of M, R, Fs, and physical constants, as appropriate. Begin your derivation by writing either a fundamental physics principle or an equation from the

          1. Show all your work for each part of the question. The parts within the question may not have equal weight.
Pulley
String
Fs
Figure 1
A pulley is made from a solid disk that can rotate with negligible friction about a fixed axle at its center, as shown in Figure 1. The pulley has mass M and radius R, and its mass is distributed such that its rotational inertia is 1/2 MR^2 about its center. A string is wrapped around the pulley, and a downward force of magnitude Fs is exerted on the end of the string.
(a)
i. The circle in Figure 2 represents the pulley. On Figure 2, draw and label arrows that represent the forces (not components) that are exerted on the pulley while the force of magnitude Fs is exerted on the string. Each force must be represented by a distinct arrow starting on, and pointing away from, the point at which the force is exerted on the pulley.
Figure 2
ii. Using Newton's second law in rotational form, derive an expression for the tangential acceleration of a point located on the outer edge of the pulley. Express your answer in terms of M, R, Fs, and physical constants, as appropriate. Begin your derivation by writing either a fundamental physics principle or an equation from the

1. Show all your work for each part of the question. The parts within the question may not have equal weight.
Pulley
String
Fs
Figure 1
A pulley is made from a solid disk that can rotate with negligible friction about a fixed axle at its center, as shown in Figure 1. The pulley has mass M and radius R, and its mass is distributed such that its rotational inertia is 1/2 MR^2 about its center. A string is wrapped around the pulley, and a downward force of magnitude Fs is exerted on the end of the string.
(a)
i. The circle in Figure 2 represents the pulley. On Figure 2, draw and label arrows that represent the forces (not components) that are exerted on the pulley while the force of magnitude Fs is exerted on the string. Each force must be represented by a distinct arrow starting on, and pointing away from, the point at which the force is exerted on the pulley.
Figure 2
ii. Using Newton's second law in rotational form, derive an expression for the tangential acceleration of a point located on the outer edge of the pulley. Express your answer in terms of M, R, Fs, and physical constants, as appropriate. Begin your derivation by writing either a fundamental physics principle or an equation from the

Added by Carolyn S.

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