Question 1

A mass m hanging on a spring with a spring constant k executes simple harmonic motion with a period T.If the same mass is hung from a spring with a spring constant of 2k,the period of oscillation

Accepted Answer

D

Question 2

A body of mass 5.0 kg moves in simple harmonic motion according to the equation  where the units are SI.The period of this motion is

Accepted Answer

B

Question 3

The frequency of a simple harmonic motion is 2.6 $\times$ 10^-4 s^-1.The oscillation starts (t = 0)when the displacement has its maximum positive value of 6.5 $\times$ 10^-3 cm.The earliest possible time at which the particle can be found at x = -2.6 $\times$ 10^-3 cm is

Accepted Answer

The frequency of the simple harmonic motion is given as $2.6 \times 10^{-4} \, \text{s}^{-1}$, which means the period $T = \frac{1}{f} = \frac{1}{2.6 \times 10^{-4}} \, \text{s}$. The particle starts at its maximum positive displacement, and to reach a displacement of $-2.6 \times 10^{-3} \, \text{cm}$, it needs to pass through the equilibrium position and reach the negative side. The earliest time this can happen is a quarter of the period later, because in simple harmonic motion, the object goes from one extreme, through the equilibrium position, to the other extreme, and back in one period. Calculating a quarter of the period gives the time it takes to reach the specified displacement for the first time.

Question 4

A particle is oscillating with simple harmonic motion.The frequency of the motion is 10 Hz and the amplitude of the motion is 5.0 cm.As the particle passes its central equilibrium position,the acceleration of the particle is

Accepted Answer

The acceleration of a particle in simple harmonic motion is given by a = -ω²x, where ω is the angular frequency (2πf in this case) and x is the displacement from equilibrium. At the equilibrium position, x = 0 and therefore a = 0 as well. So, the correct answer is D) zero.

Question 5

When an object is oscillating in simple harmonic motion in the vertical direction,its maximum speed occurs when the object

Accepted Answer

The maximum speed in simple harmonic motion occurs at the equilibrium point because this is where the object has the least potential energy and the most kinetic energy.

Question 6

A particle with a mass of 65 g is moving with simple harmonic motion.At time t = 0,the particle is at its extreme positive displacement of 18.0 cm.The period of the motion is 0.600 s.At time t = 1.35 s,the velocity of the particle is

Accepted Answer

The answer of A particle with a mass of 65...

Question 7

If F is the force,x the displacement,and k a particular constant,for simple harmonic motion we must have

Accepted Answer

For simple harmonic motion, the force is given by Hooke's law, which states that F = -kx, where k is the spring constant and x is the displacement from equilibrium. None of the given options match this equation.

Question 8

A spring vibrates in simple harmonic motion according to the equation  where x is in centimeters and t is in seconds.The total number of vibrations this body makes in 10 s is

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The answer of A spring vibrates in simple harmonic motion...

Question 9

You want a mass that,when hung on the end of a spring,oscillates with a period of 1 s.If the spring has a spring constant of 10 N/m,the mass should be

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The answer of You want a mass that,when hung on...

Question 10

A particle moving with a simple harmonic motion has its maximum displacement of +18 cm at time t = 0.The frequency of the motion is 10 s^-1.At a time t = 0.65 s,the position of the particle is

Accepted Answer

The answer of A particle moving with a simple harmonic...

Question 11

A particle moving with simple harmonic motion has a maximum displacement of +12.0 cm.The particle moves from its maximum positive to its maximum negative displacement in 2.25 s.The motion starts when the displacement is x = +12.0 cm.The time for the particle to move to x = -6.00 cm is

Accepted Answer

The answer of A particle moving with simple harmonic motion...

Question 12

The equation for the period T of a mass m oscillating with simple harmonic motion at the end of a spring with a force constant k is  .A mass m that is oscillating on a spring with a force constant of 0.52 N/m has a period of 2.1 s.On a second spring,the same mass has a period of 3.5 s.The force constant of the second spring is

Accepted Answer

The answer of The equation for the period T of...

Question 13

The instantaneous speed of a mass undergoing simple harmonic motion on the end of a spring depends on

Accepted Answer

The instantaneous speed of a mass in simple harmonic motion depends on all the given factors: the amplitude of oscillation affects the maximum speed, the frequency and period (which are inversely related) determine how quickly the mass oscillates and thus its speed at any given moment, and the time at which the speed is measured is crucial since the speed varies over time as the mass moves back and forth.

Question 14

Any body moving with simple harmonic motion is being acted on by a force that is

Accepted Answer

In simple harmonic motion, the restoring force is directly proportional to the displacement from the equilibrium position but acts in the opposite direction. This relationship is described by Hooke's Law, which is fundamental to understanding simple harmonic motion.

Question 15

A mass m hanging on a spring with a spring constant k has simple harmonic motion with a period T.If the mass is doubled to 2m,the period of oscillation

Accepted Answer

The answer of A mass m hanging on a spring...

Question 16

A body moves with simple harmonic motion according to the equation  where the units are SI.At t = 2 s,the speed of the body is

Accepted Answer

The answer of A body moves with simple harmonic motion...

Question 17

The force constant of a massless spring is 25.0 N/m.A mass of 0.45 kg is oscillating in simple harmonic motion at the end of the spring with an amplitude of 0.32 m.The maximum speed of the mass is

Accepted Answer

The maximum speed (v_max) in simple harmonic motion is given by v_max = ωA, where ω = sqrt(k/m). Here, k = 25.0 N/m, m = 0.45 kg, and A = 0.32 m. Calculating ω gives ω = sqrt(25.0/0.45) = 7.45 rad/s. Therefore, v_max = 7.45 * 0.32 = 2.38 m/s, which is approximately 2.4 m/s.

Question 18

A body oscillates with simple harmonic motion according to the equation  where the units are SI.The speed of the body when it has a displacement of 3 m is

Accepted Answer

The answer of A body oscillates with simple harmonic motion...

Question 19

A 2.00-kg body is attached to a spring of negligible mass and oscillates with a period of 1.00 s.The force constant of the spring is

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Question 20

A particle moving in simple harmonic motion with a period T = 1.5 s passes through the equilibrium point at time t₀ = 0 with a velocity of 1.00 m/s to the right.A time t later,the particle is observed to move to the left with a velocity of 0.50 m/s.(Note the change in direction of the velocity.)The smallest possible value of the time t is

Accepted Answer

The answer of A particle moving in simple harmonic motion...

Quiz 14: Oscillations

A mass m hanging on a spring with a spring constant k executes simple harmonic motion with a period T.If the same mass is hung from a spring with a spring constant of 2k,the period of oscillation

The frequency of a simple harmonic motion is 2.6 $\times$ 10^-4 s^-1.The oscillation starts (t = 0) when the displacement has its maximum positive value of 6.5 $\times$ 10^-3 cm.The earliest possible time at which the particle can be found at x = -2.6 $\times$ 10^-3 cm is

A particle is oscillating with simple harmonic motion.The frequency of the motion is 10 Hz and the amplitude of the motion is 5.0 cm.As the particle passes its central equilibrium position,the acceleration of the particle is

When an object is oscillating in simple harmonic motion in the vertical direction,its maximum speed occurs when the object

A particle with a mass of 65 g is moving with simple harmonic motion.At time t = 0,the particle is at its extreme positive displacement of 18.0 cm.The period of the motion is 0.600 s.At time t = 1.35 s,the velocity of the particle is

If F is the force,x the displacement,and k a particular constant,for simple harmonic motion we must have

You want a mass that,when hung on the end of a spring,oscillates with a period of 1 s.If the spring has a spring constant of 10 N/m,the mass should be

A particle moving with a simple harmonic motion has its maximum displacement of +18 cm at time t = 0.The frequency of the motion is 10 s^-1.At a time t = 0.65 s,the position of the particle is

A particle moving with simple harmonic motion has a maximum displacement of +12.0 cm.The particle moves from its maximum positive to its maximum negative displacement in 2.25 s.The motion starts when the displacement is x = +12.0 cm.The time for the particle to move to x = -6.00 cm is

The instantaneous speed of a mass undergoing simple harmonic motion on the end of a spring depends on

Any body moving with simple harmonic motion is being acted on by a force that is

A mass m hanging on a spring with a spring constant k has simple harmonic motion with a period T.If the mass is doubled to 2m,the period of oscillation

The force constant of a massless spring is 25.0 N/m.A mass of 0.45 kg is oscillating in simple harmonic motion at the end of the spring with an amplitude of 0.32 m.The maximum speed of the mass is

A 2.00-kg body is attached to a spring of negligible mass and oscillates with a period of 1.00 s.The force constant of the spring is

Quiz 14: Oscillations

A mass m hanging on a spring with a spring constant k executes simple harmonic motion with a period T.If the same mass is hung from a spring with a spring constant of 2k,the period of oscillation

A body of mass 5.0 kg moves in simple harmonic motion according to the equation where the units are SI.The period of this motion is

The frequency of a simple harmonic motion is 2.6 ×\times× 10-4 s-1.The oscillation starts (t = 0) when the displacement has its maximum positive value of 6.5 ×\times× 10-3 cm.The earliest possible time at which the particle can be found at x = -2.6 ×\times× 10-3 cm is

A particle is oscillating with simple harmonic motion.The frequency of the motion is 10 Hz and the amplitude of the motion is 5.0 cm.As the particle passes its central equilibrium position,the acceleration of the particle is

When an object is oscillating in simple harmonic motion in the vertical direction,its maximum speed occurs when the object

A particle with a mass of 65 g is moving with simple harmonic motion.At time t = 0,the particle is at its extreme positive displacement of 18.0 cm.The period of the motion is 0.600 s.At time t = 1.35 s,the velocity of the particle is

If F is the force,x the displacement,and k a particular constant,for simple harmonic motion we must have

A spring vibrates in simple harmonic motion according to the equation where x is in centimeters and t is in seconds.The total number of vibrations this body makes in 10 s is

You want a mass that,when hung on the end of a spring,oscillates with a period of 1 s.If the spring has a spring constant of 10 N/m,the mass should be

A particle moving with a simple harmonic motion has its maximum displacement of +18 cm at time t = 0.The frequency of the motion is 10 s-1.At a time t = 0.65 s,the position of the particle is

A particle moving with simple harmonic motion has a maximum displacement of +12.0 cm.The particle moves from its maximum positive to its maximum negative displacement in 2.25 s.The motion starts when the displacement is x = +12.0 cm.The time for the particle to move to x = -6.00 cm is

The instantaneous speed of a mass undergoing simple harmonic motion on the end of a spring depends on

Any body moving with simple harmonic motion is being acted on by a force that is

A mass m hanging on a spring with a spring constant k has simple harmonic motion with a period T.If the mass is doubled to 2m,the period of oscillation

A body moves with simple harmonic motion according to the equation where the units are SI.At t = 2 s,the speed of the body is

The force constant of a massless spring is 25.0 N/m.A mass of 0.45 kg is oscillating in simple harmonic motion at the end of the spring with an amplitude of 0.32 m.The maximum speed of the mass is

A body oscillates with simple harmonic motion according to the equation where the units are SI.The speed of the body when it has a displacement of 3 m is

A 2.00-kg body is attached to a spring of negligible mass and oscillates with a period of 1.00 s.The force constant of the spring is

The frequency of a simple harmonic motion is 2.6 $\times$ 10^-4 s^-1.The oscillation starts (t = 0) when the displacement has its maximum positive value of 6.5 $\times$ 10^-3 cm.The earliest possible time at which the particle can be found at x = -2.6 $\times$ 10^-3 cm is

A particle moving with a simple harmonic motion has its maximum displacement of +18 cm at time t = 0.The frequency of the motion is 10 s^-1.At a time t = 0.65 s,the position of the particle is