Question

Question 1 Part A

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

Part B

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

Part C

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

Part D

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.

Part E

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.

Part F

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 there is maximum displacement from equilibrium.
	C.	When the velocity is a minimum.
	D.	When there is no displacement from equilibrium.

Part G

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

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

Part H

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

Part I

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 there is no displacement from equilibrium.
	C.	When there is maximum displacement from equilibrium.
	D.	When the velocity is a maximum.

Part J

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.

Answer 1

(A) The displacement and acceleration has an 180^o phase difference for an simple harmonic motion, i.e., if the displacement is positive, acceleration is negative, and vice - versa.

Hence, correct option is : (D) Negative.

(B) To travel back to the same position with same direction is known as one complete oscillation, and time taken to travel this path is known as the time period, denoted by T, of the oscillation.

Hence, correct option is : (A) The period, T.

(C) At the point of equilibrium, the object, possessing a simple harmonic motion, has the greatest speed.

Hence, correct option is : (B) When there is no displacement from equilibrium.

(E) Since the spring - mass system is in rest, it is in the equilibrium position.

Hence, correct option is : (C) Yes.

(F) At the equilibrium point, the velocity of the motion is maximum, hence, the acceleration is zero. Now, since force is mass times acceleration, force is also zero at this point.

Hence, correct option is : (D) When there is no displacement from equilibrium.

(G) The object's maximum possible displacement when moving under simple harmonic motion is known as : (B) Amplitude of displacement.

(H) The spring is in rest. So, it is in equilibrium.

Hence, correct option is : (C) Yes.

(I) The spring momentarily comes to rest at the end points of its motion, so its speed becomes to zero at those points.

Hence, correct option is : (C) When there is maximum displacement from equilibrium.

(J) At the extreme points, the velocity of the motion changes its direction, producing the maximum acceleration. Now, since force is mass times acceleration, force is also maximum at those points.

Hence, correct option is : (D) When there is maximum displacement from equilibrium.