Question

A spring is attached to a wall, and a 0.50 kg block is attached to the other end of the spring. The spring-block system sits on a frictionless surface so that the block is able to oscillate without losing energy. The spring constant of the spring is k = 25 N/m. The block is pushed so that it compresses the spring by 20 cm beyond its equilibrium position. The block is released from rest at exactly the same time as a stopwatch begins counting time.

*I recommend including a plot of x-versus-t (a plot of
displacement of the block versus time) as part of your answer, and
use your sketch as part of the justification for your
result.*

a) At what time does the block first reach a point where it is halfway between its initial position (its position when the stopwatch began counting time), and the equilibrium position of the spring-mass system?

b) What is the position of the block 3.2 seconds after the
stopwatch began counting time?

Answer #1

Displacement equation of block is

Equilibrium position of the block is taken as origin, initial position of block is

Angular frequency of block is

a)

When the block reaches halfway between initial position and equilibrium position ,

b)

At time

That is the block is to the left of equilibrium position.

A horizontal spring is attached to a wall at one end and a mass
at the other. The mass rests on a frictionless surface. You pull
the mass, stretching the spring beyond the equilibrium position a
distance A, and release it from rest. The mass then begins to
oscillate in simple harmonic motion with amplitude A. During one
period, the mass spends part of the time in regions where the
magnitude of its displacement from equilibrium is greater than
(0.17)A—...

A block with a mass of 0.300 kg attached to one end of a spring
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equilibrium position and is located 0.0371 m from its equilibrium
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A block is attached to a horizontal spring with a spring
constant of 5.0 kg s?
2.
The block is displaced
0.5m from equilibrium and released (see the figure below). The
block executes simple harmonic motion
with a period of 4.0 s .Assuming that the block is moving on a
frictionless surface, and the spring is of
negligible mass.
a. Calculate the mass of the block?
b. Determine the velocity of the block 1.0 seconds after it is
released?
The...

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 with mass 2 kg is attached to an ideal massless spring
and undergoes simple harmonic oscillations with a period of 0.50 s.
The surface is frictionless. The amplitude of the oscillation is
0.1 m. (a) What is the spring constant of the spring? (b) What is
the total mechanical energy of the system (the spring and block
system)? (c) What is the maximum speed of the block? (d) What is
the speed of the block when the displacement...

A block with mass 2 kg is attached to an ideal massless spring
and undergoes simple harmonic oscillations with a period of 0.50 s.
The surface is frictionless. The amplitude of the oscillation is
0.1 m. (a) What is the spring constant of the spring? (b) What is
the total mechanical energy of the system (the spring and block
system)? (c) What is the maximum speed of the block? (d) What is
the speed of the block when the displacement...

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.

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Assuming that positive is to the right, determine at 0.300 s after
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Neglect friction. (Indicate the direction with the sign of your
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A block of mass m = 0.53 kg attached to a spring with force
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The left end of a horizontal spring is attached to a vertical
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kg
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