Question

A spring is hanging motionless from the ceiling of a room on the earth. You attach a mass to the end of the spring and after releasing the mass, you observe that the spring extends a distance  before momentarily coming to a halt. What then must be the distance below just the spring's equilibrium position to the new equilibrium position of the spring-mass system?

	A.
	B.
	C.
	D.

A spring is hanging downward from the ceiling of a room on the earth, has nothing attached to the end, and is motionless. Is the spring in equilibrium?

	A.	Yes.
	B.	Unable to determine without more information.
	C.	There must be a mass on the end of the spring.
	D.	No.

For an object moving under simple harmonic motion while attached to a spring, when is the speed the greatest?

	A.	When there is maximum displacement from equilibrium .
	B.	When the velocity is a minimum.
	C.	When there is no displacement from equilibrium .
	D.	Only when the object on the spring is not hanging down due to gravity.

A block is attached to a spring and is hanging downward motionless from the ceiling of a room on the earth. Is the spring in equilibrium?

	A.	No.
	B.	Unable to determine without more information.
	C.	Yes.
	D.	We need to know the mass of the block.

For an object moving under simple harmonic motion while attached to a spring, when is the net force the greatest?

	A.	When there is no displacement from equilibrium.
	B.	When the velocity is a maximum.
	C.	Only when the object on the spring is not hanging down due to gravity.
	D.	When there is maximum displacement from equilibrium.

For an object moving under simple harmonic motion while attached to a spring, when is the net force zero?

	A.	Only when the object on the spring is not hanging down due to gravity.
	B.	When the velocity is a minimum.
	C.	When there is no displacement from equilibrium.
	D.	When there is maximum displacement from equilibrium.

What is the term for the object's maximum possible displacement when moving under simple harmonic motion?

	A.	Amplitude of velocity.
	B.	Amplitude of displacement.
	C.	There is no term for this situation.
	D.	Amplitude of acceleration.

If at a certain point in time the displacement is positive for an object moving under simple harmonic motion, what is the sign of its acceleration?

	A.	Positive.
	B.	Negative.
	C.	Can not be determined.
	D.	Depends if the object is moving positively or negatively.

For an object moving under simple harmonic motion while attached to a spring, when is the speed zero?

	A.	Only when the object on the spring is not hanging down due to gravity.
	B.	When the velocity is a maximum.
	C.	When there is no displacement from equilibrium.
	D.	When there is maximum displacement from equilibrium.

For an object in simple harmonic motion, what is the length of time required to return to its original position and to be traveling in the original direction?

	A.	The frequency, f.
	B.	The period, T.
	C.	The period, f.
	D.	The frequency, T.

Please answer all, thank you so much!

Answer 1

1) Initially the spring is in equilibrium. When a mass m is attaced to the spring then the spring comes to new equilibrium position after some time. If x is distance between the two equilibrium positions then x = mg / K where K is spring constant.

2) If the spring is hanging and nothing is attached and the spring is in motionless then the spring is in equilibrium with respect to earth.YES.

Option A

3) If the body is in SHM then velocity is maximum when it is at equilibrium position. Hence if its displacement (x) from equilibrium position is zero it has greatest speed.

Option C

4) If the spring-block system is motionless then the spring is said to be in equilibrium. YES

Option C

5) The net force is greatest when the block is at maximum displacement from equilibrium.

Option D

6) The net force is zer when the block is at minimum (zero) displacement from equilibrium.

Option C

7) The amplitude is used for maximum. Hence amplitude of displacement is for the maximum displacement of the block from equilibrium.

Option B

8) The acceleration is given by . If displacement is positive then acceleration is negative,

Option B

9) If the body is in SHM then velocity is zero when it is at maximum displacement from equilibrium position. Hence if its displacement (x) from equilibrium position is A its speed is zero.

Option D

10) The time period T is defined as the time taken by the particle to complete one oscillation such that it is at same position moving in the same direction.

Option B