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Union College Mechanical Engineering ESC020: Rigid Body Mechanics1 Kinetics of Particles Normal and Tangential Coordinates Cylindrical Coordinates

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Union College Mechanical Engineering ESC020: Rigid Body Mechanics2 Example 1 The 150lb man lies against the cushion for which the coefficient of static friction is μ s =0.5. determine the resultant normal and frictional forces the cushion exerts on him if, due to rotation about the z axis, he has a constant speed v=20ft/s. Neglect the size of the man. Take θ=60°

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Union College Mechanical Engineering ESC020: Rigid Body Mechanics3 Example 2 The 150lb man lies against the cushion for which the coefficient of static friction is μ s =0.5. If he rotates about te z axis with a constant speed v=30ft/s, determine the smallest angle θ of the cushion at which he will begin to slip off.

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Union College Mechanical Engineering ESC020: Rigid Body Mechanics4 Example 2 A conical pendulum consists of a 10 lb sphere supported by a 6ft cord that revolves about a vertical axis with a constant angular velocity so that the string is inclined 30° to the vertical. Determine the tension T in the string and the linear velocity of the sphere.

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Union College Mechanical Engineering ESC020: Rigid Body Mechanics5 Free Body – Mass Acceleration Diagrams

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