Question

A block attached to the end of a spring moves in simple harmonic motion according to the position function where the period of the motion is 4.0 s and the amplitude of the motion is 15 cm.

g) Determine the first time at which the position of the block is -1.2 cm. ______ s

h) Determine the first time at which the velocity of the block is -8.5 cm/s. ______ s

i) Determine the first time at which the acceleration of the block is -6.7 cm/s2. ______ s

j) Determine the maximum speed of the block. ______ cm/s

k) Determine the magnitude of the maximum acceleration of the block. ______ cm/s2

l) Suppose that the mass of the block is 1.9 kg. Determine the stiffness constant of the spring. ______ N/m

Answer #1

A metal ball attached to a spring moves in simple harmonic
motion. The amplitude of the ball's motion is 11.0 cm, and the
spring constant is 5.50 N/m. When the ball is halfway between its
equilibrium position and its maximum displacement from equilibrium,
its speed is 27.2 cm/s.
(a) What is the mass of the ball (in kg)?
(b) What is the period of oscillation (in s)?
(c) What is the maximum acceleration of the ball? (Enter the
magnitude in...

Consider a block attached to a horizontal spring that
undergoes simple harmonic motion as shown with an amplitude of A
=10 cm
If the kinetic energy of the block is increasing the
block must be
(a) moving away from the equilibrium
position
(b) moving towards the equilibrium position
c) at equilibrium position
(d) maximum displacement

Part A
A block of unknown mass is attached to a spring with a spring
constant of 5.50 N/m and undergoes simple harmonic motion with an
amplitude of 10.0 cm. When the block is halfway between its
equilibrium position and the end point, its speed is measured to be
28.0 cm/s.
(a) Calculate the mass of the block.
________kg
(b) Calculate the period of the motion.
________s
(c) Calculate the maximum acceleration of the block.
________m/s2
Part B
A block-spring...

A block of unknown mass is attached to a spring with a spring
constant of 7.00 N/m and undergoes simple harmonic motion with an
amplitude of 11.5 cm. When the block is halfway between its
equilibrium position and the end point, its speed is measured to be
25.0 cm/s.
(a) Calculate the mass of the block.
kg
(b) Calculate the period of the motion.
s
(c) Calculate the maximum acceleration of the block.
m/s2

A) A mass on a spring vibrates in simple harmonic motion at a
frequency of 4.0 Hz and an amplitude of 8.0 cm. If a timer is
started when its displacement from equilibrium is a maximum (hence
x = 8 cm when t = 0), what is the displacement of the mass when t =
3.7 s?
B) A mass of 4.0 kg, resting on a horizontal, frictionless
surface, is attached on the right to a horizontal spring with
spring...

A 301 g weight attached to a horizontal spring moves in simple
harmonic motion with a period of 0.260 s. The total mechanical
energy of the spring-mass system is 5.46 J.
(a)
What is the maximum speed of the weight (in m/s)?
m/s
(b)
What is the spring constant (in N/m)?
N/m
(c)
What is the amplitude of the motion (in m)?
m

A block of unknown mass is attached to a spring with a spring
constant of 5.50 N/m and undergoes simple harmonic motion with an
amplitude of 10.0 cm. When the block is halfway between its
equilibrium position and the end point, its speed is measured to be
27.0 cm/s.
(a) Calculate the mass of the block.
(b) Calculate the period of the motion.
(c) Calculate the maximum acceleration of the block.

When A 200 g block is attached to a vertical spring it
is stretched by 10 cm. If the block is then lifted 5 cm and
released it will execute simple harmonic motion with a period of
0.3 s.
(a) Find the force constant of the spring.
(b) Find the mass of the block.
(c) Find the amplitude of the motion.
(d) What is the maximum speed of the block?
(e) What is the speed of the block at the...

An object with mass 2.8 kg is executing simple harmonic motion,
attached to a spring with spring constant 320 N/m . When the object
is 0.021 m from its equilibrium position, it is moving with a speed
of 0.65 m/s . Calculate the amplitude of the motion. Calculate the
maximum speed attained by the object.

An object with mass 3.8 kg is executing simple harmonic motion,
attached to a spring with spring constant 260 N/mN/m . When the
object is 0.017 mm from its equilibrium position, it is moving with
a speed of 0.65 m/s .
Calculate the amplitude of the motion.
Calculate the maximum speed attained by the object.

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