Question

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 constant 30 N/m and on the left to a horizontal spring with spring constant 50 N/m. If this system is moved from equilibrium, what is the effective spring constant?

C) A mass of 0.40 kg, attached to a spring with a spring constant of 80 N/m, is set into simple harmonic motion. What is the magnitude of the acceleration of the mass when at its maximum displacement of 0.050 m from the equilibrium position?

D) A pendulum on the Earth has a period *T*. The
acceleration due to gravity on Mars is less than that on the Earth,
and the acceleration due to gravity on the Moon is even less. Where
would the period of an identical pendulum be the least?

E) When an object is moving in simple harmonic motion, which of the following is at a minimum when the displacement from equilibrium is zero?

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...

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.

An object with mass 2.3 kg is executing simple harmonic motion,
attached to a spring with spring constant 330 N/m . When the object
is 0.020 m from its equilibrium position, it is moving with a speed
of 0.50 m/s . Part A Calculate the amplitude of the motion. Part B
Calculate the maximum speed attained by the object.

An object with mass 3.6 kg is executing simple harmonic motion,
attached to a spring with spring constant 320 N/m . When the object
is 0.025 m from its equilibrium position, it is moving with a speed
of 0.40 m/s.
Part A: Calculate the amplitude of the motion.
Part B: Calculate the maximum speed attained by the object.

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...

A 0.450 kg object attached to a spring with a force constant of
8.00 N/m vibrates in simple harmonic motion with an amplitude of
12.0 cm. (Assume the position of the object is at the origin at
t = 0.)
(a) Calculate the maximum value (magnitude) of its speed and
acceleration.
___cm/s
___cm/s2
(b) Calculate the speed and acceleration when the object is 9.00 cm
from the equilibrium position.
___cm/s
___cm/s2
(c) Calculate the time interval required for the object...

A mass oscillates on a horizontal spring in a simple harmonic
motion. It is observed that the duration of one full oscillation
cycle is 0.50 π seconds, and that the maximal displacement of the
oscillator from the equilibrium is 12.0 cm. Let time instant taken
as t = 0.00 sec correspond to the moment when the mass is at the
location 10.0 cm to the left of the equilibrium, and moving to the
left.
1. Find oscillator’s velocity and acceleration...

A 0.580-kg object attached to a spring with a force constant of
8.00 N/m vibrates in simple harmonic motion with an amplitude of
13.0 cm. (Assume the position of the object is at the origin at
t = 0.)
(a) Calculate the maximum value of its speed.
cm/s
(b) Calculate the maximum value of its acceleration.
cm/s2
(c) Calculate the value of its speed when the object is 11.00 cm
from the equilibrium position.
cm/s
(d) Calculate the value of...

A 0.560-kg object attached to a spring with a force constant of
8.00 N/m vibrates in simple harmonic motion with an amplitude of
12.6 cm. (Assume the position of the object is at the origin at
t = 0.)
(a) Calculate the maximum value of its speed.
cm/s
(b) Calculate the maximum value of its acceleration.
cm/s2
(c) Calculate the value of its speed when the object is 10.60 cm
from the equilibrium position.
cm/s
(d) Calculate the value of...

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