MOD.MASTER.W/ETEXT ENG.MECHANICS CARD+BK
15th Edition
ISBN: 9780137519170
Author: HIBBELER
Publisher: PEARSON
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Chapter 22, Problem 75P
To determine
The spring’s maximum compression.
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Solve for differential equations undetermined coefficients, do not go to international system
A weight of 3.2Ib stretches a spring 6.4 ft. If the weight is released 3 inches below the equilibrium position with a downward directed speed of 6 ft/s and the mass-spring system is in the middle provides a damping force numerically equal to one fifth of the instantaneous speed, determine the equation of motion if an external force given by f(t) = e-t cos(2t) is also applied to weight.
A mass weighing 16 pounds stretches a spring 4 feet. The medium offers
a damping force that is numerically equal to 3 times the instantaneous velocity.
The mass is initially released from rest from a point 3 feet above the equilibrium
position.
(a) Find the equation of motion.
(b) Will the mass pass through the equilibrium position? if yes, find the time when
it occurs. Justify your answer.
8. A spring of 21 cm length reaches 30.8 cm after hanging a mass of 1/4 kilogram on it. The medium through which
the mass moves provides a damping force equal to three times the instantaneous velocity. Find the equation of
motion if the mass is released from the equilibrium position with a downward velocity of 2 m/s. Calculate the time
at which the mass reaches its extreme displacement, and what is the position of the mass at that moment? (Use
g = 9.8 m/s²)
Sol.
Chapter 22 Solutions
MOD.MASTER.W/ETEXT ENG.MECHANICS CARD+BK
Ch. 22 - A spring is stretched 175 mm by an 8-kg block. If...Ch. 22 - A spring has a stiffness of 800 N/m. If a 2-kg...Ch. 22 - Prob. 3PCh. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - A 3-kg block is suspended from a spring having a...Ch. 22 - Prob. 10P
Ch. 22 - Prob. 13PCh. 22 - Prob. 14PCh. 22 - Prob. 16PCh. 22 - Prob. 17PCh. 22 - A uniform board is supported on two wheels which...Ch. 22 - Prob. 24PCh. 22 - Prob. 30PCh. 22 - Prob. 31PCh. 22 - Prob. 32PCh. 22 - Determine the differential equation of motion of...Ch. 22 - Prob. 36PCh. 22 - If the block-and-spring model is subjected to the...Ch. 22 - A block which has a mass m is suspended from a...Ch. 22 - A 4-lb weight is attached to a spring having a...Ch. 22 - A 4-kg block is suspended from a spring that has a...Ch. 22 - A 5-kg block is suspended from a spring having a...Ch. 22 - Prob. 48PCh. 22 - The light elastic rod supports a 4-kg sphere. When...Ch. 22 - Find the differential equation for small...Ch. 22 - Prob. 52PCh. 22 - The fan has a mass of 25 kg and is fixed to the...Ch. 22 - In Prob. 22-53 , determine the amplitude of...Ch. 22 - Prob. 55PCh. 22 - Prob. 56PCh. 22 - Prob. 57PCh. 22 - Prob. 58PCh. 22 - Prob. 59PCh. 22 - Prob. 60PCh. 22 - Prob. 61PCh. 22 - Prob. 62PCh. 22 - Prob. 65PCh. 22 - Determine the magnification factor of the block,...Ch. 22 - Prob. 67PCh. 22 - The 200-lb electric motor is fastened to the...Ch. 22 - Prob. 70PCh. 22 - Prob. 72PCh. 22 - Prob. 73PCh. 22 - Prob. 74PCh. 22 - Prob. 75PCh. 22 - Prob. 76PCh. 22 - Prob. 79P
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