PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 22, Problem 3P
To determine
The equation that describes the spring motion and the phase angle.
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A spring is stretched (180mm)
to the equilibrium position
when attached to mass of 15
kg. If the object is initially
displaced 110mm downward
from its equilibrium position
and given a velocity of
120mm/sec downward. Find
the displacement at any time?
Use g=9.81 m/sec?.
A spring for which k=750 N/m, is suspended from
a fixed support. A mass of 30 kg is attached to its
lower end and the system is brought to rest. Find
the position of the mass at time t=5 sec if a force
equal to 20 sin 2t is applied to it.
When testing the landing gear unit of a space
vehicle drop tests are carried out. Figure 2.17 is a
schematic model of the unit at the instant when it
first touches the ground. At this instant the spring is
fully extended and the velocity of the mass is ()
where h is the height from which the unit has been
dropped. Obtain the equation representing the
displacement of the mass at time t>0 when
M=50kg B = 180 Nsm^-1 and k = 474.5 N m^-1, and
investigate the effects of different dropping height
h. (g is the acceleration due to gravity and my be
taken as 9.8 ms^-2.)
and the velocity of the mass is √(2gh), where h is the
height from which the unit has been dropped. Obtain
the equation representing the displacement of the
mass at time t> 0 when M = 50 kg, B = 180 N sm
and K = 474.5 Nm, and investigate the effects of
different dropping heights h. (g is the acceleration
due to gravity, and may be taken as 9.8 m s².)
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Chapter 22 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
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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