A particle is moving with SHM.If it has velocities of v1 and v2 when it is at positions x1 and x2 from the equilibrium position respectively,then the square of the frequency of vibration (f 2)is given by:

A) (v12 - v22 )/ 4 $\pi$2 (x12 -x22 ) B) (v12 -v22 )/ 4 $\pi$2 (x22 - x12 ) C) (v12 + v22 )/ 4 $\pi$2 (x22 -x12 ) D) (v12 + v22 )/ 2 $\pi$2 (x22 + x12 ) E) (v12 + v22 )/ (x22 - x12 ) A) (v12 - v22 )/ 4 $\pi$2 (x12 -x22 ) B) (v12 -v22 )/ 4 $\pi$2 (x22 - x12 ) C) (v12 + v22 )/ 4 $\pi$2 (x22 -x12 ) D) (v12 + v22 )/ 2 $\pi$2 (x22 + x12 ) E) (v12 + v22 )/ (x22 - x12 )

Exam 14: Oscillations

Explore all topics

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

(Multiple Choice)

4.9/5

(43)

Question 61

A long homogeneous rod can be pivoted as a physical pendulum at each of the points shown.Points at which the periods would be about the same are

(Multiple Choice)

4.9/5

(37)

Question 62

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

(Multiple Choice)

4.9/5

(34)

Question 63

What must be the length of a simple pendulum with a period of 2.0 s if g = 9.8 m/s²?

(Multiple Choice)

4.8/5

(29)

Question 64

In the laboratory,a stick 1 m long is pivoted at various points to illustrate the motion of a physical pendulum.A plot of the period versus the distance of the pivot point from the center of mass is shown.The data presented demonstrate which of the following?

(Multiple Choice)

4.7/5

(38)

Question 65

A pendulum has simple harmonic motion provided that

(Multiple Choice)

4.8/5

(41)

Question 66

Which of the following statements is true for a simple harmonic oscillator that is not subject to dissipative forces?

(Multiple Choice)

4.7/5

(28)

Question 67

A particle is moving with SHM.If it has velocities of v₁ and v₂ when it is at positions x₁ and x₂ from the equilibrium position respectively,then the square of the frequency of vibration (f ²)is given by:

(Multiple Choice)

4.7/5

(40)

Question 68

A rocket ship is propelled vertically up with an acceleration of g in a uniform gravitational field.A pendulum of length 1.0 m would have a period of

(Multiple Choice)

4.8/5

(33)

Question 69

An 8.0-kg block is attached to a spring with a constant of 2.0 N/m.If the spring is stretched 3.0 m from its equilibrium position and released from rest,the maximum velocity attained by the mass is

(Multiple Choice)

4.8/5

(33)

Question 70

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

(Multiple Choice)

4.9/5

(36)

Question 71

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

(Multiple Choice)

4.8/5

(37)

Question 72

A 2.50-kg object is attached to a spring of force constant k = 4.50 kN/m.The spring is stretched 10.0 cm from equilibrium and released.What is the maximum kinetic energy of this system?

(Multiple Choice)

4.7/5

(35)

Question 73

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

(Multiple Choice)

4.7/5

(38)

Question 74

The energy of an oscillator decreases by 3% each cycle.The quality factor of this oscillator is approximately

(Multiple Choice)

4.7/5

(34)

Question 75

A particle moves in one dimension with simple harmonic motion according to the equation where the units are SI.Its period is

(Multiple Choice)

4.7/5

(33)

Question 76

The equation of a body in simple harmonic motion is where y is in centimeters and t is in seconds.The frequency of the oscillations is

(Multiple Choice)

4.8/5

(45)

Question 77

A 0.10-kg mass stretches a massless spring 0.20 m from its equilibrium position.If this same mass is set into vibration on this spring,the frequency is

(Multiple Choice)

4.8/5

(36)

Question 78

When the displacement of an object in simple harmonic motion is one-quarter of the amplitude A,the potential energy is what fraction of the total energy?

(Multiple Choice)

4.8/5

(23)

Question 79

If the mass of a physical pendulum is doubled while its length and mass distribution remain unchanged,its period is

(Multiple Choice)

4.8/5

(27)

Question 80

Showing 61 - 80 of 126

Exam 14: Oscillations

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

A long homogeneous rod can be pivoted as a physical pendulum at each of the points shown.Points at which the periods would be about the same are

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

What must be the length of a simple pendulum with a period of 2.0 s if g = 9.8 m/s2?

In the laboratory,a stick 1 m long is pivoted at various points to illustrate the motion of a physical pendulum.A plot of the period versus the distance of the pivot point from the center of mass is shown.The data presented demonstrate which of the following?

A pendulum has simple harmonic motion provided that

Which of the following statements is true for a simple harmonic oscillator that is not subject to dissipative forces?

A particle is moving with SHM.If it has velocities of v1 and v2 when it is at positions x1 and x2 from the equilibrium position respectively,then the square of the frequency of vibration (f 2)is given by:

A rocket ship is propelled vertically up with an acceleration of g in a uniform gravitational field.A pendulum of length 1.0 m would have a period of

An 8.0-kg block is attached to a spring with a constant of 2.0 N/m.If the spring is stretched 3.0 m from its equilibrium position and released from rest,the maximum velocity attained by the mass is

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

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

A 2.50-kg object is attached to a spring of force constant k = 4.50 kN/m.The spring is stretched 10.0 cm from equilibrium and released.What is the maximum kinetic energy of this system?

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

The energy of an oscillator decreases by 3% each cycle.The quality factor of this oscillator is approximately

A particle moves in one dimension with simple harmonic motion according to the equation where the units are SI.Its period is

The equation of a body in simple harmonic motion is where y is in centimeters and t is in seconds.The frequency of the oscillations is

A 0.10-kg mass stretches a massless spring 0.20 m from its equilibrium position.If this same mass is set into vibration on this spring,the frequency is

When the displacement of an object in simple harmonic motion is one-quarter of the amplitude A,the potential energy is what fraction of the total energy?

If the mass of a physical pendulum is doubled while its length and mass distribution remain unchanged,its period is

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

The Electric Field I: Discrete Charge Distributions

The Electric Field Ii: Continuous Charge Distributions

Electric Potential

Capacitance

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Interference and Diffraction

Wave Particle Duality and Quantum Physics

Applications of the Schrodinger Equation

Atoms

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

Filters

What must be the length of a simple pendulum with a period of 2.0 s if g = 9.8 m/s²?

A particle is moving with SHM.If it has velocities of v₁ and v₂ when it is at positions x₁ and x₂ from the equilibrium position respectively,then the square of the frequency of vibration (f ²)is given by:

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