Question

Please give me a brief introduction on Hooke’s Law and Simple Harmonic Motion. Also explain why is the Hooke’s Law force equation has a negative sign.

Answer #1

when a spring is connected at its one end by a mass and other end is fixed to a rigid support,now by placing the system on a smooth horizontal surface if we pull the mass a side and released ,it executes simple harmonic motion

in this case according to Hooke's law the restoring force applied by the spring is

the negative sign is due to force is opposite to elongation x

Please give me a brief introduction on uniform circular motion
including the theory behind it from Newton’s second law in your own
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In simple harmonic motion, when is the magnitude of the
acceleration the greatest?
when the potential energy is a maximum
when the displacement is a zero
when the speed is a maximum
when the magnitude of the displacement is a maximum
when the kinetic energy is a minimum
**Please explain why, thanks!

Answer both sections:
A) The motion of a piston in an auto engine is simple harmonic.
If the piston travels back and forth over a total distance of 12
cm, and the piston has a mass of 1.8 kg, what is the maximum force
acting on the piston when the engine is running at 4,800 rpm
(revolutions per minute)? Round your answer to the nearest Newton.
Enter the numerical answer only with no units.
B)
A body oscillates with simple...

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Astronomy:
1. Determine the position in the oscillation where an
object in simple harmonic motion:
a. has the greatest speed.
b. has the greatest acceleration.
c. experiences the greatest restoring
force.
d. experiences zero restoring force.
2. Describe simple harmonic motion, including its cause
and appearance.
3. Describe how the change in a. amplitude (angle), b.
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4. Do measurements including uncertainty fall within the
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A body oscillates with simple harmonic motion according to the
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x = 6.0 cos(3t + π/3)
where the units are SI. The speed of the body when it has a
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problem step by step?
A. 6π m/s
B. 9π m/s
C. m/s
D. 18π m/s
E. m/s

One example of simple harmonic motion is a block attached to a
spring, pulled to one side, then released, so it slides back and
forth over and over. In real experiments, friction and drag can't
be eliminated, so both will do a small amount of negative work on
the sliding mass, each cycle, slowly reducing its ME, until the
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a) As the system's ME decreases, the block's maximum speed gets
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Are the following true or false? Please explain why.
1. an object undergoing projectile motion always has kinetic
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2. A static friction force always oppose the direction of motion
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3. When a body is moving in uniform circular motion, it has a
constant kinetic energy.
4. Energy is neither created, nor destroyed, it is only
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can someone give me a brief clear explanation as to why (∃x)(∀y)
P(x,y) and (∀y)(∃x)P(x,y) would have different truth values? please
can you type the answer not write it in a picture.

please give me correct answer and explain really clear for:
Use Newton's and secant methods to
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x0 = 1, compute X1 and X2
ONLY.

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