University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Chapter 15, Problem 53P
If a car has a suspension system with a force constant of
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University Physics Volume 1
Ch. 15 - Check Your Understanding Why would it hurt more if...Ch. 15 - Check Your Understanding Identify one way you...Ch. 15 - Check Your Understanding Identify an object that...Ch. 15 - Check Your Understanding An engineer builds two...Ch. 15 - Check Your Understanding Why are completely...Ch. 15 - Check Your Understanding A famous magic trick...Ch. 15 - What conditions must be met to produce SHM?Ch. 15 - (a) If frequency is not constant for some...Ch. 15 - Give an example of a simple harmonic oscillator,...Ch. 15 - Explain why you expect an object made of a stiff...
Ch. 15 - As you pass a freight truck with a trailer on a...Ch. 15 - Some people modify cars to be much closer to the...Ch. 15 - Describe a system in which elastic potential...Ch. 15 - Explain in terms of energy how dissipative forces...Ch. 15 - The temperature of the atmosphere oscillates from...Ch. 15 - Can this analogy of SHM to circular motion be...Ch. 15 - Can this analogy of SHM to circular motion be...Ch. 15 - Can this analogy of SHM to circular motion be...Ch. 15 - A pendulum clock works by measuring the period of...Ch. 15 - With the use of a phase shift, the position of an...Ch. 15 - Give an example of a damped harmonic oscillator....Ch. 15 - How would a car bounce after a bump under each of...Ch. 15 - Most harmonic oscillators are damped and, if...Ch. 15 - Why are soldiers in general ordered to “route...Ch. 15 - Do you think there is any harmonic motion in the...Ch. 15 - Some engineers use sound to diagnose performance...Ch. 15 - Prove that using x(t)=Asin(t+) will produce the...Ch. 15 - What is the period of 60.0 Hz of electrical power?Ch. 15 - If your heart rate is 150 beats per minute during...Ch. 15 - Find the frequency of a tuning fork that takes...Ch. 15 - A stroboscope is set to flash every 8.00105 s....Ch. 15 - A tire has a tread pattern with a crevice every...Ch. 15 - Each piston of an engine makes a sharp sound every...Ch. 15 - A type of cuckoo clock keeps time by having a mass...Ch. 15 - A mass m0is attached to a spring and hung...Ch. 15 - A 0.500-kg mass suspended from a spring oscillates...Ch. 15 - By how much leeway (both percentage and mass)...Ch. 15 - Fish are hung on a spring scale to determine their...Ch. 15 - It is weigh-in time for the local under-85-kg...Ch. 15 - One type of BB gun uses a spring-driven plunger to...Ch. 15 - When an 80.0-kg man stands on a pogo stick, the...Ch. 15 - A spring has a length of 0.200 m when a 0.300-kg...Ch. 15 - The length of nylon rope from which a mountain...Ch. 15 - The motion of a mass on a spring hung vertically,...Ch. 15 - (a) A novelty clock has a 0.0100-kg-mass object...Ch. 15 - Reciprocating motion uses the rotation of a motor...Ch. 15 - A student stands on the edge of a merry-go-round...Ch. 15 - What is the length of a pendulum that has a period...Ch. 15 - Some people think a pendulum with a period of 1.00...Ch. 15 - What is the period of a 1.00-m-long pendulum?Ch. 15 - How long does it take a child on a swing to...Ch. 15 - The pendulum on a cuckoo clock is 5.00-cm long....Ch. 15 - Two parakeets sit on a swing with their combined...Ch. 15 - (a) A pendulum that has a period of 3.00000 s and...Ch. 15 - A pendulum with a period of 2.00000 s in one...Ch. 15 - (a) What is the effect on the period of a pendulum...Ch. 15 - The amplitude of a lightly damped oscillator...Ch. 15 - How much energy must the shock absorbers of a...Ch. 15 - If a car has a suspension system with a force...Ch. 15 - (a) How much will a spring that has a force...Ch. 15 - Suppose you have a 0.750-kg object on a horizontal...Ch. 15 - Suppose you attach an object with mass m to a...Ch. 15 - A diver on a diving board is undergoing SHM. Her...Ch. 15 - Suppose a diving board with no one on it bounces...Ch. 15 - The device pictured in the following figure...Ch. 15 - A mass is placed on a frictionless, horizontal...Ch. 15 - Find the ratio of the new/old periods of a...Ch. 15 - At what rate will a pendulum clock run on the...Ch. 15 - If a pendulum-driven clock gains 5.00 s/day, what...Ch. 15 - A 2.00-kg object hangs, at rest, on a 1.00-m-long...Ch. 15 - A 2.00-kg object hangs, at rest, on a 1.00-m-long...Ch. 15 - Assume that a pendulum used to drive a grandfather...Ch. 15 - A 2.00-kg block lies at rest on a frictionless...Ch. 15 - A suspension bridge oscillates with an effective...Ch. 15 - Near the top of the Citigroup Center building in...Ch. 15 - Parcels of air (small volumes of air) in a stable...Ch. 15 - Consider the van der Waals potential U(r)=U0[( R 0...Ch. 15 - Suppose the length of a clock’s pendulum is...Ch. 15 - (a) The springs of a pickup truck act like a...
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- 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?arrow_forwardDetermine the angular frequency of oscillation of a thin, uniform, vertical rod of mass m and length L pivoted at the point O and connected to two springs (Fig. P16.78). The combined spring constant of the springs is k(k = k1 + k2), and the masses of the springs are negligible. Use the small-angle approximation (sin ). FIGURE P16.78arrow_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_forward
- A 50.0-g object connected to a spring with a force constant of 35.0 N/m oscillates with an amplitude of 4.00 cm on a frictionless, horizontal surface. Find (a) the total energy of the system and (b) the speed of the object when its position is 1.00 cm. Find (c) the kinetic energy and (d) the potential energy when its position is 3.00 cm.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_forwardA lightweight spring with spring constant k = 225 N/m is attached to a block of mass m1 = 4.50 kg on a frictionless, horizontal table. The blockspring system is initially in the equilibrium configuration. A second block of mass m2 = 3.00 kg is then pushed against the first block, compressing the spring by x = 15.0 cm as in Figure P16.77A. When the force on the second block is removed, the spring pushes both blocks to the right. The block m2 loses contact with the springblock 1 system when the blocks reach the equilibrium configuration of the spring (Fig. P16.77B). a. What is the subsequent speed of block 2? b. Compare the speed of block 1 when it again passes through the equilibrium position with the speed of block 2 found in part (a). 77. (a) The energy of the system initially is entirely potential energy. E0=U0=12kymax2=12(225N/m)(0.150m)2=2.53J At the equilibrium position, the total energy is the total kinetic energy of both blocks: 12(m1+m2)v2=12(4.50kg+3.00kg)v2=(3.75kg)v2=2.53J Therefore, the speed of each block is v=2.53J3.75kg=0.822m/s (b) Once the second block loses contact, the first block is moving at the speed found in part (a) at the equilibrium position. The energy 01 this spring-block 1 system is conserved, so when it returns to the equilibrium position, it will be traveling at the same speed in the opposite direction, or v=0.822m/s. FIGURE P16.77arrow_forward
- A small ball of mass M is attached to the end of a uniform rod of equal mass M and length L that is pivoted at the top (Fig. P12.59). Determine the tensions in the rod (a) at the pivot and (b) at the point P when the system is stationary. (c) Calculate the period of oscillation for small displacements from equilibrium and (d) determine this period for L = 2.00 m. Figure P12.59arrow_forwardUse the data in Table P16.59 for a block of mass m = 0.250 kg and assume friction is negligible. a. Write an expression for the force FH exerted by the spring on the block. b. Sketch FH versus t.arrow_forwardAn object of mass m1 = 9.00 kg is in equilibrium when connected to a light spring of constant k = 100 N/m that is fastened to a wall as shown in Figure P12.67a. A second object, m2 = 7.00 kg, is slowly pushed up against m1, compressing the spring by the amount A = 0.200 m (see Fig. P12.67b). The system is then released, and both objects start moving to the right on the frictionless surface. (a) When m1 reaches the equilibrium point, m2 loses contact with m1 (see Fig. P12.67c) and moves to the right with speed v. Determine the value of v. (b) How far apart are the objects when the spring is fully stretched for the first time (the distance D in Fig. P12.67d)? Figure P12.67arrow_forward
- Show that the time rate of change of mechanical energy for a damped, undriven oscillator is given by dE/dt = bv2 and hence is always negative. To do so, differentiate the expression for the mechanical energy of an oscillator, E=12mv2+12kx2, and use Equation 15.51.arrow_forwardA 200-g block is attached to a horizontal spring and executes simple harmonic motion with a period of 0.250 s. The total energy of the system is 2.00 J. Find (a) the force constant of the spring and (b) the amplitude of the motion.arrow_forwardA block of unknown mass is attached to a spring with a spring constant of 6.50 N/m and undergoes simple harmonic motion with an amplitude of 10.0 cm. When the block is halfway between its equilibrium position and the end point, its speed is measured to be 30.0 cm/s. Calculate (a) the mass of the block, (b) the period of the motion, and (c) the maximum acceleration of the block.arrow_forward
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