A 0.158 kg toy is undergoing SHM on the end of a horizontal
spring with force constant 310 N/m . When the object is
1.50×10−2 m from its equilibrium position, it is
observed to have a speed of 0.320 m/s .
A: Find the total energy of the object at any
point in its motion.
B: Find the amplitude of the motion.
C: Find the maximum speed attained by the
object during its motion.
Consider a mass-spring system undergoing SHM. Which one of the
following statements is correct concerning the velocity of the mass
as a function of time?
a)The velocity varies sinusoidally with time
b) the velocity is constant, it does not depend on time
c) the velocity varies linearly with time Consider a mass-spring
system undergoing SHM.
Which one of the following statements is correct concerning the
dependence of the period of the motion on the amplitude of the
motion?
a) the...
A block with a mass M is attached to a horizontal spring with a
spring constant k. Then attached to this block is a pendulum with a
very light string holding a mass m attached to it. What are the two
equations of motion? (b) What would these equations be if we
assumed small x and φ? (Do note that these equations will turn out
a little messy, and in fact, the two equations involve both
variables (i.e. they are...
(From 4.2) In a mass-spring system, motion is assumed to occur
only in the vertical direction. That is, the system has one degree
of freedom. When the mass is pulled downward and then released, the
system will oscillate. If the system is undamped, meaning that
there are no forces to slow or stop the oscillation, then the
system will oscillate indefinitely. Applying Newton’s Second Law of
Motion to the mass yield the second-order differential equation ?
′′ + ? 2?...
In a horizontal spring-mass configuration, the position of the
0.44 kg mass is described by [x = (0.49 m) sin(2.39t)]
a) What is in meters the amplitude of these oscillations?
b) What is in m/s the maximum speed of the mass under these
conditions?
c) What is in Joules the spring potential energy stored in this
system when the spring is stretched at a maximum?
d) What is in Joules the kinetic energy of the mass when the
spring is...
If an undamped spring-mass system with a mass that weighs 24 lb
and a spring constant 9 lbin is suddenly set in motion at t=0 by an
external force of 180cos(8t) lb, determine the position of the mass
at any time. Assume that g=32 fts2. Solve for u in feet.
If an undamped spring-mass system with a mass that weighs 6 lb
and a spring constant 9 lb/in is suddenly set in motion at t=0 by
an external force of 99cos(20t) lb, determine the position of the
mass at any time. Assume that g=32 ft/s2. Solve for u in feet.
If an undamped spring-mass system with a mass that weighs 6 lb
and a spring constant 9 lbin is suddenly set in motion at t=0 by an
external force of 33cos(20t) lb, determine the position of the mass
at any time. Assume that g=32 fts2. Solve for u in feet.
Enclose arguments of functions in parentheses. For example,
sin(2x).
u(t)=?
If an undamped spring-mass system with a mass that weighs 24 lb
and a spring constant 9 lbin is suddenly set in motion at t=0 by an
external force of 288cos(4t) lb, determine the position of the mass
at any time. Assume that g=32 fts2. Solve for u in feet.
Enclose arguments of functions in parentheses. For example,
sin(2x).
If an undamped spring-mass system with a mass that weighs 6 lb
and a spring constant 4 lbin is suddenly set in motion at t=0 by an
external force of 63cos(12t) lb, determine the position of the mass
at any time. Assume that g=32 fts2. Solve for u in feet.