Question

A horizontal block spring oscillator of mass 15 kg on a frictionless table and spring constant k is pulled 3 m to the right and released; after 0.1 seconds the block just passes the equilibrium position.

a) Find at t= 1 second the angular frequency, frequency, period, position, velocity, acceleration, and force on the block.

b) Draw the velocity function of the block over two periods.

Answer #1

A block of mass m = 0.53 kg attached to a spring with force
constant 119 N/m is free to move on a frictionless, horizontal
surface as in the figure below. The block is released from rest
after the spring is stretched a distance A = 0.13 m. (Indicate the
direction with the sign of your answer. Assume that the positive
direction is to the right.)
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released from rest. (a) Find the speed the block has as it passes
through equilibrium if the horizontal surface is frictionless. m/s
(b) Find the speed the block has as it passes through equilibrium
(for the first...

A block-spring system consists of a spring with constant
k = 445 N/m attached to a 2.25 kg block on a frictionless
surface. The block is pulled 4.10 cm from equilibrium and released
from rest. For the resulting oscillation, find the amplitude,
angular frequency, frequency, and period. What is the maximum value
of the block's velocity and acceleration?

A frictionless block of mass 2.45 kg is attached to an ideal
spring with force constant 320 N/mN/m . At t=0 the spring is
stretched to 6 cm from the equilibrium position and released.
Find the position of the block at t=5 s
Find the velocity of the block at t=5 s
Find the acceleration of the block at t=5 s

1.A 1.10 kg block sliding on a horizontal frictionless surface
is attached to a horizontal spring with k = 490 N/m. Let
x be the displacement of the block from the position at
which the spring is unstretched. At t = 0 the block passes
through x = 0 with a speed of 3.40 m/s in the positive
x direction. What are the (a) frequency
and (b) amplitude of the block's motion
2.A vertical spring stretches 13 cm when a...

A block with mass 0.382 kg is attached to a horizontal spring
with spring constant k = 1.28 N/m on a frictionless surface. The
block is pulled 0.753 m from equilibrium and released. (a) What is
the amplitude of the block's motion? (b) What is its period? (c)
How long after release does the block take to first return to its
equilibrium position? (d) What is its speed at that position? {b.
3.43 s, d. 1.38 m/s}
a) A=0.753m
b)...

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...

A horizontal spring attached to a wall has a force constant of
k = 820 N/m. A block of mass m = 1.20 kg is
attached to the spring and rests on a frictionless, horizontal
surface as in the figure below
(a) The block is pulled to a position xi =
5.40 cm from equilibrium and released. Find the potential energy
stored in the spring when the block is 5.40 cm from
equilibrium.
(b) Find the speed of the block...

A horizontal spring attached to a wall has a force constant of
k = 720 N/m. A block of mass m = 1.90 kg is
attached to the spring and rests on a frictionless, horizontal
surface as in the figure below.
(a) The block is pulled to a position xi = 6.20
cm from equilibrium and released. Find the potential energy stored
in the spring when the block is 6.20 cm from equilibrium.
(b) Find the speed of the block...

A 0.019 kg block on a horizontal frictionless surface is
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a displacement x=+0.080 m and is released from rest. The block then
executes simple harmonic motion along x-axis (horizontal). When the
displacement is x=0.051 m, what is the kinetic energy of the block
in J?

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