College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 13, Problem 35P
A simple pendulum has a length of 52.0 cm and makes 82.0 complete oscillations in 2.00 min. Find (a) the period of the pendulum and (b) the value of g at the location of the pendulum.
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Chapter 13 Solutions
College Physics
Ch. 13.1 - A block on the end of a horizontal spring is...Ch. 13.1 - For a simple harmonic oscillator, which of the...Ch. 13.2 - When an object moving in simple harmonic motion is...Ch. 13.3 - An object of mass m is attached to a horizontal...Ch. 13.3 - Prob. 13.5QQCh. 13.4 - If the amplitude of a system moving in simple...Ch. 13.5 - A simple pendulum is suspended from the ceiling of...Ch. 13.5 - A pendulum dork depends on the period of a...Ch. 13.5 - The period of a simple pendulum is measured to be...Ch. 13 - An objectspring system undergoes simple harmonic...
Ch. 13 - If an objectspring system is hung vertically and...Ch. 13 - The spring in Figure CQ13.3 is stretched from its...Ch. 13 - If the spring constant shown in Figure CQ13.3 is...Ch. 13 - If the spring shown in Figure CQ13.3 is com...Ch. 13 - If a spring is cut in half, what happens to its...Ch. 13 - A pendulum bob is made from a sphere filled with...Ch. 13 - A block connected to a horizontal spring is in...Ch. 13 - (a) Is a bouncing ball an example of simple...Ch. 13 - If a grandfather clock were running slow, how...Ch. 13 - What happens to the speed of a wave on a string...Ch. 13 - Prob. 12CQCh. 13 - Waves are traveling on a uniform string under...Ch. 13 - Identify each of the following waves as either...Ch. 13 - A block, of mass m = 0.60 kg attached to a spring...Ch. 13 - A spring oriented vertically is attached to a hard...Ch. 13 - The force constant of a spring is 137 N/m. Find...Ch. 13 - A spring is hung from a ceiling, and an object...Ch. 13 - A biologist hangs a sample of mass 0.725 kg on a...Ch. 13 - An archer must exert a force of 375 N on the...Ch. 13 - A spring 1.50 m long with force constant 475 N/m...Ch. 13 - A block of mass m = 2.00 kg is attached to a...Ch. 13 - A slingshot consists of a light leather cup...Ch. 13 - An archer pulls her bowstring back 0.400 m by...Ch. 13 - A student pushes the 1.50-kg block in Figure...Ch. 13 - An automobile having a mass of 1.00 103 kg is...Ch. 13 - A 10.0-g bullet is fired into, and embeds itself...Ch. 13 - An object-spring system moving with simple...Ch. 13 - A horizontal block-spring system with the block on...Ch. 13 - A 0.250-kg block attached to a light spring...Ch. 13 - A block-spring system consists of a spring with...Ch. 13 - A 0.40-kg object connected to a light spring with...Ch. 13 - At an outdoor market, a bunch of bananas attached...Ch. 13 - A student stretches a spring, attaches a 1.00-kg...Ch. 13 - A horizontal spring attached to a wall has a force...Ch. 13 - An object moves uniformly around a circular path...Ch. 13 - The wheel in the simplified engine of Figure...Ch. 13 - The period of motion of an object-spring system is...Ch. 13 - A vertical spring stretches 3.9 cm when a 10.-g...Ch. 13 - When four people with a combined mass of 320 kg...Ch. 13 - The position of an object connected to a spring...Ch. 13 - A harmonic oscillator is described by the function...Ch. 13 - A 326-g object is attached to a spring and...Ch. 13 - An object executes simple harmonic motion with an...Ch. 13 - A 2.00-kg object on a frictionless horizontal...Ch. 13 - A spring of negligible mass stretches 3.00 cm from...Ch. 13 - Given that x = A cos (t) is a sinusoidal function...Ch. 13 - A man enters a tall tower, needing to know its...Ch. 13 - A simple pendulum has a length of 52.0 cm and...Ch. 13 - A seconds pendulum is one that moves through its...Ch. 13 - A clock is constructed so that it keeps perfect...Ch. 13 - A coat hanger of mass m = 0.238 kg oscillates on a...Ch. 13 - The free-fall acceleration on Mars is 3.7 m/s2....Ch. 13 - A simple pendulum is 5.00 in long. (a) What is the...Ch. 13 - The sinusoidal wave shown in Figure P13.41 is...Ch. 13 - An object attached to a spring vibrates with...Ch. 13 - Prob. 43PCh. 13 - The distance between two successive minima of a...Ch. 13 - A harmonic wave is traveling along a rope. It is...Ch. 13 - A bat can detect small objects, such as an insect,...Ch. 13 - Orchestra instruments are commonly tuned to match...Ch. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Workers attach a 25.0-kg mass to one end of a...Ch. 13 - A piano siring of mass per unit length 5.00 103...Ch. 13 - A student taking a quiz finds on a reference sheet...Ch. 13 - Prob. 53PCh. 13 - An astronaut on the Moon wishes to measure the...Ch. 13 - A simple pendulum consists of a ball of mass 5.00...Ch. 13 - A string is 50.0 cm long and has a mass of 3.00 g....Ch. 13 - Tension is maintained in a string as in Figure...Ch. 13 - The elastic limit of a piece of steel wire is 2.70...Ch. 13 - A 2.65-kg power line running between two towers...Ch. 13 - Prob. 60PCh. 13 - Prob. 61PCh. 13 - The position of a 0.30-kg object attached to a...Ch. 13 - An object of mass 2.00 kg is oscillating freely on...Ch. 13 - Prob. 64APCh. 13 - A simple pendulum has mass 1.20 kg and length...Ch. 13 - A 0.500-kg block is released from rest and slides...Ch. 13 - A 3.00-kg object is fastened to a light spring,...Ch. 13 - A 5.00-g bullet moving with an initial speed of...Ch. 13 - A large block P executes horizontal simple...Ch. 13 - A spring in a toy gun has a spring constant of...Ch. 13 - A light balloon filled with helium of density...Ch. 13 - An object of mass m is connected to two rubber...Ch. 13 - Assume a hole is drilled through the center of the...Ch. 13 - Figure P13.74 shows a crude model of an insect...Ch. 13 - A 2.00-kg block hangs without vibrating at the end...Ch. 13 - A system consists of a vertical spring with force...
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- 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.arrow_forwardA grandfather clock has a pendulum length of 0.7 m and mass bob of 0.4 kg. A mass of 2 kg falls 0.8 m in seven days to keep the amplitude (from equilibrium) of the pendulum oscillation steady at 0.03 rad. What is the Q of the system?arrow_forwardFor each expression, identify the angular frequency , period T, initial phase and amplitude ymax of the oscillation. All values are in SI units. a. y(t) = 0.75 cos (14.5t) b. vy (t) = 0.75 sin (14.5t + /2) c. ay (t) = 14.5 cos (0.75t + /2) 16.3arrow_forward
- A simple harmonic oscillator has amplitude A and period T. Find the minimum time required for its position to change from x = A to x = A/2 in terms of the period T.arrow_forwardWhich of the following statements is not true regarding a massspring system that moves with simple harmonic motion in the absence of friction? (a) The total energy of the system remains constant. (b) The energy of the system is continually transformed between kinetic and potential energy. (c) The total energy of the system is proportional to the square of the amplitude. (d) The potential energy stored in the system is greatest when the mass passes through the equilibrium position. (e) The velocity of the oscillating mass has its maximum value when the mass passes through the equilibrium position.arrow_forwardThe total energy of a simple harmonic oscillator with amplitude 3.00 cm is 0.500 J. a. What is the kinetic energy of the system when the position of the oscillator is 0.750 cm? b. What is the potential energy of the system at this position? c. What is the position for which the potential energy of the system is equal to its kinetic energy? d. For a simple harmonic oscillator, what, if any, are the positions for which the kinetic energy of the system exceeds the maximum potential energy of the system? Explain your answer. FIGURE P16.73arrow_forward
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