<SUBPART> (a) Explanation Given information: The weight ( W C ) of collar C is 6 lb. The mass moment of inertia ( I R ) of rod AB with respect to end A is 0.35 lb ⋅ ft ⋅ s 2 . The spring constant ( k ) is 15 lb/in . . The length of undeformed length ( l ) of spring is 10 inch. The angular velocity ( ω 1 ) of the assembly is 12 rad/s. Calculation: Find the mass ( m C ) of the collar C using the equation: m C = W C g Substitute 6 lb for W C and 32.2 ft/s 2 for g . m C = 6 32.2 = 0.18634 lb ⋅ s 2 /ft Consider the collar is located 24 in from end A as the initial position. Sketch the initial position of the assembly as shown in Figure (1). Refer Figure (1), Find the deformed length ( Δ 1 ) of the spring at initial position. Δ 1 = 26 − 10 = 16 in . Find the potential energy ( V 1 ) at initial position using the relation: V 1 = 1 2 k Δ 1 2 Substitute 15 lb/in. for k and 16 in. for Δ 1 . V 1 = 1 2 ( 15 ) ( 16 ) 2 = 1 , 960 in ⋅ lb × 1 ft 12 in . = 160 ft ⋅ lb Consider the collar is located 7 in from end A as the final position. Sketch the final position of the assembly as shown in Figure (2). Refer Figure (2), Find the deformed length ( Δ 2 ) of the spring at final position. Δ 2 = 12.5 − 10 = 2.5 in . Find the potential energy ( V 1 ) at final position using the relation: V 2 = 1 2 k Δ 2 2 Substitute 15 lb/in. for k and 2.5 in. for Δ 2 . V 2 = 1 2 ( 15 ) ( 2.5 ) 2 = 46.875 in ⋅ lb × 1 ft 12 in

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Chapter 17.2, Problem 17.90P

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The angular velocity of the assembly as the collar passes through a point located 7.5 in. from end A of the rod.

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Chapter 17.2, Problem 17.89P

Chapter 17.2, Problem 17.91P

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Chapter 17 Solutions

VECTOR MECH...,STAT.+DYNA.(LL)-W/ACCESS

Ch. 17.1 - A round object of mass m and radius r is released...Ch. 17.1 - Prob. 17.2CQ Ch. 17.1 - Prob. 17.3CQ Ch. 17.1 - Prob. 17.4CQ Ch. 17.1 - Slender bar A is rigidly connected to a massless...Ch. 17.1 - A 200-kg flywheel is at rest when a constant 300...Ch. 17.1 - The rotor of an electric motor has an angular...Ch. 17.1 - Prob. 17.3P Ch. 17.1 - Two disks of the same material are attached to a...Ch. 17.1 - Prob. 17.5P

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The angular velocity of the assembly as the collar passes through a point located 7.5 in. from end A of the rod.

Solution Summary: The author calculates the angular velocity of the assembly as the collar passes through a point located 7.5 in. from end A.

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The angular velocity of the assembly as the collar passes through a point located 7.5 in. from end A of the rod.

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