Simple And Damped Harmonic Motion (Upper Sixth Science Pure Maths)Version en ligne Test your knowledge on simple harmonic motion with these challenging questions! par YAKILI LMS 1 What is the defining characteristic of simple harmonic motion? a The speed is constant throughout the motion. b The motion is random and unpredictable. c The motion is always circular. d The restoring force is proportional to the displacement. 2 In SHM, what is the phase difference between displacement and acceleration? a 0 degrees. b 180 degrees. c 270 degrees. d 90 degrees. 3 What is the formula for the period of a simple harmonic oscillator? a T = 2π√(m/k). b T = 2π(m/k). c T = m/k. d T = 2πk/m. 4 Which of the following is an example of SHM? a A satellite in orbit. b A mass on a spring. c A car moving on a straight road. d A pendulum at constant speed. 5 What does the term 'amplitude' refer to in SHM? a The frequency of oscillation. b The total distance traveled. c The average speed of the motion. d The maximum displacement from the equilibrium position. 6 What is the relationship between frequency and period in SHM? a Frequency is equal to the period. b Frequency is squared of the period. c Frequency is half of the period. d Frequency is the inverse of the period. 7 In SHM, what happens to the kinetic energy at maximum displacement? a Kinetic energy is constant. b Kinetic energy is zero. c Kinetic energy is half of the total energy. d Kinetic energy is at its maximum. 8 What is the unit of spring constant (k) in SHM? a kg/m (kilograms per meter). b N/kg (Newtons per kilogram). c N/m (Newtons per meter). d J/m (Joules per meter). 9 What type of energy is stored in a spring during SHM? a Chemical energy. b Thermal energy. c Kinetic energy. d Potential energy. 10 What is the effect of increasing mass on the period of SHM? a The period decreases. b The period increases. c The period becomes zero. d The period remains constant. 11 What is the defining characteristic of simple harmonic motion? a It moves in a straight line only. b It is always accelerating. c It is periodic and oscillates around an equilibrium position. d It requires external force constantly. 12 What is the formula for the period of a simple harmonic oscillator? a T = m/k b T = 2π√(m/k) c T = k/m d T = 2π(m/k) 13 In simple harmonic motion, what does 'k' represent? a The spring constant. b The mass of the object. c The damping coefficient. d The amplitude of motion. 14 What is the maximum displacement from the equilibrium position called? a Period. b Amplitude. c Frequency. d Velocity. 15 Which of the following describes the motion of a pendulum? a Uniform circular motion. b Simple harmonic motion for small angles. c Linear motion. d Rotational motion. 16 What happens to the frequency if the mass of a simple harmonic oscillator increases? a The frequency increases. b The frequency remains the same. c The frequency decreases. d The frequency doubles. 17 What is the relationship between frequency and period in simple harmonic motion? a Frequency is half of the period. b Frequency is the inverse of the period. c Frequency is squared of the period. d Frequency is equal to the period. 18 In simple harmonic motion, what type of energy is at its maximum at the amplitude? a Mechanical energy. b Kinetic energy. c Potential energy. d Thermal energy. 19 What type of graph represents displacement versus time in simple harmonic motion? a Exponential graph. b Linear graph. c Parabolic graph. d Sine or cosine wave. 20 What is the effect of damping on simple harmonic motion? a It reduces the amplitude over time. b It makes the motion linear. c It has no effect. d It increases the frequency. 21 What does SHM stand for? a Simple Harmonic Motion b Static Harmonic Motion c Simple Harmonic Mechanics d Simple Harmonic Model 22 In SHM, displacement is a function of which variable? a Mass b Force c Time d Velocity 23 What is the general form of displacement in SHM? a x(t) = A e^(ωt) b x(t) = A + ωt c x(t) = A sin(ωt + φ) d x(t) = A cos(ωt + φ) 24 What does 'A' represent in the displacement equation? a Acceleration b Angular frequency c Amplitude d Area 25 What does 'ω' represent in the SHM displacement equation? a Angular frequency b Mass c Linear speed d Displacement 26 What is the phase constant 'φ' in SHM? a Frequency b Final phase angle c Initial phase angle d Amplitude 27 How does displacement change over time in SHM? a It increases linearly. b It remains constant. c It oscillates between -A and A. d It decreases exponentially. 28 What is the maximum displacement in SHM called? a Period b Phase shift c Amplitude d Frequency 29 In SHM, what is the relationship between displacement and velocity? a Velocity is constant. b Velocity is maximum at zero displacement. c Velocity is always negative. d Velocity is zero at maximum displacement. 30 What type of graph represents displacement over time in SHM? a Linear graph b Parabolic graph c Cosine or sine wave d Exponential graph 31 What does SHM stand for in physics? a Simple Harmonic Model b Static Harmonic Motion c Simple Harmonic Motion d Steady Harmonic Motion 32 What type of surface is the particle on in this SHM scenario? a Inclined plane b Vertical surface c Rough horizontal plane d Smooth horizontal plane 33 What is the restoring force in SHM provided by? a Air resistance b Gravity c The spring d Friction 34 What is the formula for the restoring force in a spring? a F = -kx b F = ma c F = mg d F = kx 35 In SHM, what does 'k' represent? a Spring constant b Acceleration due to gravity c Displacement d Mass of the particle 36 What is the direction of the restoring force in SHM? a Opposite to displacement b Same as displacement c Random direction d Perpendicular to displacement 37 What type of energy is stored in the spring during SHM? a Potential energy b Chemical energy c Thermal energy d Kinetic energy 38 What happens to the particle's speed at the equilibrium position in SHM? a It is maximum b It fluctuates c It is zero d It is minimum 39 What is the effect of increasing the spring constant on SHM frequency? a No effect b Increases frequency c Decreases frequency d Causes damping 40 What type of motion does a particle attached to a spring exhibit when displaced? a Linear motion b Translational motion c Oscillatory motion d Rotational motion 41 What is forced vibration? a Vibration in a vacuum. b Vibration from internal forces. c Vibration caused by an external periodic force. d Random vibration without external forces. 42 Which factor does NOT affect the frequency of forced vibration? a The external force frequency. b The mass of the vibrating object. c The stiffness of the system. d The damping ratio. 43 What is resonance in forced vibration? a When the frequency of external force matches the natural frequency. b Damping of vibrations. c A type of random vibration. d Vibration with no external force. 44 What is the primary cause of forced vibration? a Thermal expansion. b An external periodic force acting on a system. c Gravity alone. d Static loads. 45 Which of the following is a common application of forced vibration? a Fluid dynamics. b Static load testing. c Thermal insulation. d Vibrating screens in material processing. 46 What role does damping play in forced vibration? a It eliminates vibrations completely. b It increases the frequency. c It has no effect. d It reduces the amplitude of vibrations over time. 47 What is the formula for the natural frequency of a simple harmonic oscillator? a f = k/m. b f = m/k². c f = 2π√(m/k). d f = (1/2π)√(k/m). 48 Which type of system is most likely to experience forced vibration? a An unconnected mass. b A static beam. c A fluid at rest. d A mass-spring-damper system. 49 What happens when the driving frequency is much lower than the natural frequency? a The system vibrates with a small amplitude. b The amplitude increases dramatically. c The system becomes unstable. d The system stops vibrating. 50 In forced vibration, what is the phase difference between the driving force and the response? a Always ninety degrees. b It varies depending on the damping and frequency. c Always one hundred eighty degrees. d Always zero degrees.
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