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Determine the maximum upward displacement

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Reference no: EM131570286

Instructions:

Solve ALL problems below. Enter correct answers with correct units in the space provided on this Cover:
Sheet. Express all results with a minimum of 3 significant figures. Attach supporting handwritten work to this Cover Sheet.

Supporting handwritten work shall CLEARLY indicate your name, chapter and problem number. See Syllabus for, additional information related to scoring rubric.

Problem 1.

A 21 kg block is suspended from a spring having a stiffness of 90 N/m. If the block is given an upward velocity of 0.8 m/s when it is 45 mm above its equilibrium position, determine the maximum upward displacement of the block measured from the equilibrium Position.

Problem 2.

A 4kg block is suspended from a spring having a stiffness of 350 N/m. If the block is pushed 31 mm upward from its equilibrium position and then released with an upward velocity of 0 m/s, determine the (a); amplitude, (b) natural frequency, and (c) natural period of the vibration.

Problem 3.

The 175 lb block is supported on frictionless rollers and bonded to four (4) springs each having k = 130 lb/in. If the block is pushed 4.7 inches side-wards from its equilibrium position and then released front rest, determine the (a) amplitude, (b) natural frequency and (c) natural period of the vibration.

Problem 4.

The disk, having a radius of 0.9 ft and weight of 35lbs, is pinned at its center O and supports the block A that has a weight of 0.3 lbs. One end of the belt which passes over the disk is attached to a spring with k = 105 lb/ft the other end is attached to block A. The belt is not allowed to slip at its contacting surface. If block A is pushed 2.2 inch clown from its equilibrium position and then released front rest, determine the (a) amplitude. (b) natural frequency and (c) natural period of the vibration.

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Reference no: EM131570286

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