Question

A student stretches a spring, attaches a 1.70 kg mass to it, and releases the mass from rest on a frictionless surface. The resulting oscillation has a period of 0.530 s and an amplitude of 26.0 cm. Determine the oscillation frequency, the spring constant, and the speed of the mass when it is halfway to the equilibrium position.

(a) the oscillation frequency (in Hz)

Hz

(b) the spring constant (in N/m)

N/m

(c) the speed of the mass (in m/s) when it is halfway to the equilibrium position

m/s

Answer #1

An 81.9 g mass is attached to a horizontal spring with a spring
constant of 3.5 N/m and released from rest with an amplitude of
39.1 cm. What is the speed of the mass when it is halfway to the
equilibrium position if the surface is frictionless? Answer in
units of m/s.

A block with mass m =7.3 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.29 m.
While at this equilibrium position, the mass is then given an
initial push downward at v = 5 m/s. The block oscillates on the
spring without friction.
1) What is the spring constant of the spring? N/m Submit
2) What is the oscillation frequency? Hz Submit
3) After t = 0.45 s what is...

A particle with mass 1.23 kg oscillates horizontally at the end
of a horizontal spring. A student measures an amplitude of 0.847 m
and a duration of 125 s for 69 cycles of oscillation. Find the
frequency, ?, the speed at the equilibrium position, ?max, the
spring constant, ?, the potential energy at an endpoint, ?max, the
potential energy when the particle is located 41.3% of the
amplitude away from the equiliibrium position, ?, and the kinetic
energy, ?, and...

A 0.58 kg mass is attached to a light spring with a force
constant of 31.9 N/m and set into oscillation on a horizontal
frictionless surface. If the spring is stretched 5.0 cm and
released from rest, determine the following.
(a) maximum speed of the oscillating mass
m/s
(b) speed of the oscillating mass when the spring is compressed 1.5
cm
m/s
(c) speed of the oscillating mass as it passes the point 1.5 cm
from the equilibrium position
m/s...

A 0.68 kg mass is attached to a light spring with a force
constant of 36.9 N/m and set into oscillation on a horizontal
frictionless surface. If the spring is stretched 5.0 cm and
released from rest, determine the following.
(a) maximum speed of the oscillating mass
m/s
(b) speed of the oscillating mass when the spring is compressed 1.5
cm
m/s
(c) speed of the oscillating mass as it passes the point 1.5 cm
from the equilibrium...

A particle with mass 2.61 kg oscillates horizontally at the end
of a horizontal spring. A student measures an amplitude of 0.923 m
and a duration of 129 s for 65 cycles of oscillation. Find the
frequency, ?, the speed at the equilibrium position, ?max, the
spring constant, ?, the potential energy at an endpoint, ?max, the
potential energy when the particle is located 68.5% of the
amplitude away from the equiliibrium position, ?, and the kinetic
energy, ?, and...

1. A mass 0.15 kg is attached to a horizontal spring with spring
constant k = 100 N/m moves on a horizontal surface. At the initial
moment in time, the mass is moving to the right at rate of 3.5 m/s
and displacement of 0.2 m to the right of equilibrium.
a) What is the angular frequency, period of oscillation, and
phase constant?
b) What is the amplitude of oscillation (Hint: Use energy.) and
maximum speed of the spring-mass system?

A block with mass m =6.2 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.22 m.
While at this equilibrium position, the mass is then given an
initial push downward at v = 4.6 m/s. The block oscillates on the
spring without friction.
What is the spring constant of the spring?
2)
What is the oscillation frequency?
After t = 0.32 s what is the speed of the block?
What...

A mass of 1.79 kg is placed on a spring with spring constant of
280 N/m. After being pulled to its positive amplitude position and
released, the resulting simple harmonic motion has a maximum
velocity of 1.126 m/s.
(a) Calculate the angular frequency of the
oscillation. rad/s
(b) Calculate the minimum time elapsed for the mass to reach the
0.044 m position (distance from the equilibrium
position). s
(c) Calculate the velocity of the mass at the time found in part
(b). m/s

A mass of 0.5 kg is attached to the end of a massless spring of
spring constant 0.40 N/m. It is released from rest from an extended
position. After 0.6 s, the speed of the mass is measured to be 2.5
m/s. What is the amplitude of oscillation?
What is the total energy (relative to the mass at rest in the
unextended position) contained in this system?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 14 minutes ago

asked 15 minutes ago

asked 39 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago