College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- Calculate the velocity of a simple harmonic oscillator with amplitude of 13.5 cm and frequency of 5 Hz at a point located 5 cm away from the equilibrium position. Give your answer in Sl units.arrow_forwardCalculate the velocity of a simple harmonic oscillator with amplitude of 24 cm and frequency of 5 Hz at a point located 5 cm away from the equilibrium position. Give your answer in Sl units. Answer: Choose... Previous page Next pagearrow_forwardCalculate the velocity of a simple harmonic oscillator with amplitude of 11.8 cm and frequency of 5 Hz at a point located 5 cm away from the equilibrium position.arrow_forward
- a particle of mass m makes simple harmonic motion with force constant k around the equilibrium position x = 0. Calculate the valu of the amplitude and the phase constant if the initial conditions are x(0) = 0 and v(0) = -Vi (vi > 0). Draw x-t, v - t and a - t figures for one complete cycle of oscillations.arrow_forwardConsider the simple pendulum: a ball hanging at the end of a string. Derive the expression for the period of this physical pendulum, taking into account the finite size ball (i.e. the ball is not a point mass). Assume that the string is massless. Start with the expression for the period T'of a physical pendulum with small amplitude oscillati T = 2π The moment of inertia of the ball about an axis through the center of the ball is Here, I, is the moment of inertia about an axis through the pivot (fixed point at the top of the string, m is the mass of the ball, g is the Earth's gravitational constant of acceleration, and h is the distance from the pivot at the top of the string to the center of mass of the ball. Note, this pre-lab asks you to do some algebra, and may be a bit tricky. I mgh Iball = / mr² Tarrow_forwardProblem 5: (a) For a driven, damped harmonic oscillator, the peak of the amplitude (and therefore the maximum potential energy) occurs for a driving frequency of w=w₂ = √3 - 2/3². Determine the driving frequency at which the kinetic energy of the system is a maximum. (b) Make a "resonance peak" plot of kinetic energy versus driving frequency, for various values of ß. [You may assume that wo = 1 rad/s, or equivalently you can choose to measure driving frequency w and damping / as fractions or multiples of wo. Choose a convenient value for the driving force.]arrow_forward
- Can you please help me with this question please?arrow_forwardFor a simple harmonic oscillator with x = A sin ot write down an expression for the velocity. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For trigonometric functions use the usual sin and cos, while for Greek letters such as w, use omega. Please use the "Display response" button to check you entered the answer you expect. U= Display responsearrow_forwardCalculate the velocity of a simple harmonic oscillator with amplitude of 11.4 cm and frequency of 5 Hz at a point located 5 cm away from the equilibrium position. Give your answer in Sl units. Answer: Choose...arrow_forward
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