Question

Distinguish between vibrations and w.aves.

(bl What is a simple harmonic motion (SHM)?

(c How do you determine, whether a vibrating body is undergoing
SHM?

Answer #1

A toy of mass 0.150 kg is undergoing simple harmonic motion
(SHM) on the end of a horizontal spring with force constant 300 N/m
. When the object is a distance 1.25×10?2 m from its equilibrium
position, it is observed to have a speed of 0.305 m/s .
a) What is the total energy of the object at any point of its
motion?
b) What is the amplitude of the motion?
c) What is the maximum speed attained by the...

A toy of mass 0.155 kg is undergoing simple harmonic motion
(SHM) on the end of a horizontal spring with force constant 305 N/m
. When the object is a distance 1.25×10−2 m from its
equilibrium position, it is observed to have a speed of 0.300 m/s
.
Part A) What is the total energy of the object
at any point of its motion?
E = ? J
Part B) What is the amplitude of the
motion?
A = ?...

5. A mass attached to a spring
undergoes a simple harmonic motion (SHM) on a frictionless
horizontal surface. Suppose you increase the amplitude of the SHM,
which of the following quantities DOES (DO)
NOT increase? (There can be more than one answer)
1. The period of the SHM
2. The maximum acceleration
3. The frequency of the SHM
4. The maximum kinetic energy
5. The maximum spring potential
energy
6. The maximum speed.

A 1500 gram mass moving in a simple harmonic motion (SHM) passes
through the equilbrium point (x=0) with a spped of 2.60m/s. The
spring compresses and reaches a maximum displacement of 11.0
cm:
a. Calculate its spring constant by using consv. of energy
b. Calculate the period and frequency.
c. What is its velocity at T=10 seconds?
d. What is the maximum force that spring exerts on the block
during its motion? Where does this max force occur?

What motion inside the mechanical clock represents simple
harmonic motion? Can you describe this in a little more detail?

The position of a certain system with mass of 10 kg exhibits
simple harmonic motion, where x(t) = 20 cos(15.2t + ?/4) and is in
units of meters. (a) What is the total energy of the system (let
the potential energy be zero at the equilibrium position)? (b) At t
= 0, what is the potential energy? (c) Kinetic energy?
Please answer with the concept of SHM

For an object with simple harmonic motion;
a) What can you say about its speed, acceleration and kinetic
energy at equilibrium?
b) For simple harmonic motion given by x = 3,8 cos (5πt / 4 + π / 6), what is its amplitude, frequency, position and speed for t = 0?

The function x = (8.0 m) cos[(4πrad/s)t + π/5 rad] gives the
simple harmonic motion of a body. At t = 6.9 s, what are the (a)
displacement, (b) velocity, (c) acceleration, and (d) phase of the
motion? Also, what are the (e) frequency and (f) period of the
motion?

The function x = (9.5 m) cos[(6πrad/s)t + π/4 rad] gives the
simple harmonic motion of a body. At t = 2.3 s, what are the (a)
displacement, (b) velocity, (c) acceleration, and (d) phase of the
motion? Also, what are the (e) frequency and (f) period of the
motion?

An object is undergoing simple harmonic motion along the x-axis.
its position is described as a function of time by x(t)=
5.3cos(4.2t-1.9), where x is in meters, the time t, is in seconds,
and the argument of the cosine is in radians.
c) determine the position of the object, in meters, at the time
t=2.6s?
d) what the objects velocity, in meters per second, at the time
t=2.6s?
e) calculate the objects acceleration, in meters per second
squared, at time...

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