In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max, to the maximum angular velocity, O'max, is Tt s^(-1). What is the time needed for the pendulum to complete two oscillations? 0.25 sec

In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max, to the maximum angular velocity, O'max, is Tt s^(-1). What is the time needed for the pendulum to complete two oscillations? 0.25 sec

Name: O 0.019 kg0.047 kgO 0.040 kgIn an oscillatory motion of a simplependu
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: O 0.019 kg0.047 kgO 0.040 kgIn an oscillatory motion of a simplependulum, the ratio of the maximumangular acceleration, O"max, to themaximum angular velocity, O'max, is Tts^(-1). What is the time needed for thependulum to complete two oscillations?O

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 9CQ: The temperature of the atmosphere oscillates from a maximum near noontime and a minimum near...

See similar textbooks

Similar questions

Find the frequency of a tuning fork that takes 2.50103 s to complete one oscillation.
A particle of mass m moving in one dimension has potential energy U(x) = U0[2(x/a)2 (x/a)4], where U0 and a are positive constants. (a) Find the force F(x), which acts on the particle. (b) Sketch U(x). Find the positions of stable and unstable equilibrium. (c) What is the angular frequency of oscillations about the point of stable equilibrium? (d) What is the minimum speed the particle must have at the origin to escape to infinity? (e) At t = 0 the particle is at the origin and its velocity is positive and equal in magnitude to the escape speed of part (d). Find x(t) and sketch the result.
We do not need the analogy in Equation 16.30 to write expressions for the translational displacement of a pendulum bob along the circular arc s(t), translational speed v(t), and translational acceleration a(t). Show that they are given by s(t) = smax cos (smpt + ) v(t) = vmax sin (smpt + ) a(t) = amax cos(smpt + ) respectively, where smax = max with being the length of the pendulum, vmax = smax smp, and amax = smax smp2.
The device pictured in the following figure entertains infants while keeping them from wandering. The child bounces in a harness suspended from a door frame by a spring. (a) If the spring stretches 0.250 m while supporting an 8.0-kg child, what is its force constant? (b) What is the time for one complete bounce of this child? (c) What is the child’s maximum velocity if the amplitude of her bounce is 0.200 m?
Reproduce Figures 3-10b and c for the same values given in Example 3.2, but instead let = 0.1 s1 and = rad. How many times does the system cross the x = 0 line before the amplitude finally falls below 102 of its maximum value? Which plot, b or c, is more useful for determining this number? Explain.
Some people modify cars to be much closer to the ground than when manufactured. Should they install stiffer springs? Explain your answer.
The amplitude of a lightly damped oscillator decreases by 3.0% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle?
A series of five 0.1-kg spheres are arrayed along a thin, lightweight rigid rod with length 0.5 m at intervals of 0,1m from one end of the rod. The system spins about an axis perpendicular to and passing through the unoccupied end of the rod with a period of 0.3 s. In this way, each mass moves in the same plane along a circular path whose radius is its distance from the rotation axis. (a) How far does each mass move during one revolution? (b) What is the speed of each mass as it orbits the axis? (c) What is the total angular momentum of the system?
Assume that a pendulum used to drive a grandfather clock has a length L0=1.00 m and a mass M at temperature T=20.00 °C. It can be modeled as a physical pendulum as a rod oscillating around one end. By what percentage will the period change if the temperature increases by 10°C? Assume the length of the rod changes linearly with temperature, where L=L0(1+T) and the rod is made of (=18106C1) .
The temperature of the atmosphere oscillates from a maximum near noontime and a minimum near sunrise. Would you consider the atmosphere to be in stable or unstable equilibrium?
An automobile with a mass of 1000 kg, including passengers, settles 1.0 cm closer to the road for every additional 100 kg of passengers. It is driven with a constant horizontal component of speed 20 km/h over a washboard road with sinusoidal bumps. The amplitude and wavelength of the sine curve are 5.0 cm and 20 cm, respectively. The distance between the front and back wheels is 2.4 m. Find the amplitude of oscillation of the automobile, assuming it moves vertically as an undamped driven harmonic oscillator. Neglect the mass of the wheels and springs and assume that the wheels are always in contact with the road.
A ball attached to a spring is raised 2 feet and released with an initial vertical velocity of 3 feet per second. The distance of the ball from its rest position after t seconds is given by d = 2 cos t + 3 sin t. Show that 2 cos t + 3 sin t = √13 cos(t - θ),where θ lies in quadrant I and tanθ =( 3/2). Use the identity to find the amplitude and the period of the ball’s motion.