College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Chapter 10, Problem 11CQ
An object of known mass hangs at the end of a spring, causing it to stretch a distance
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College Physics
Ch. 10 - Review Question 10.1 Can we say that the period of...Ch. 10 - Review Question 10.2 The velocity of an object...Ch. 10 - Review Question 10.3
What will happen to the...Ch. 10 - Review Question 10.4 The period of vibration of a...Ch. 10 - Review Question 10.5 Your grandfathers pendulum...Ch. 10 - Why was it important to assume that the springs...Ch. 10 - Review Question 10.7 What features of damped...Ch. 10 - Review Question 10.8 Describe the phenomenon of...Ch. 10 - 1. What are the features that make vibrational...Ch. 10 - 2. What does it mean if the amplitude of an...
Ch. 10 - 3. What does it mean if the period of an object’s...Ch. 10 - 4. What is the period of the kinetic or the...Ch. 10 - 5. A cart undergoing simple harmonic motion has a...Ch. 10 - The period of the object attached to a spring is...Ch. 10 - You have a simple harmonic oscillator. Where is...Ch. 10 - You have a simple harmonic oscillator. Where is...Ch. 10 - Which of the following arguments can be used to...Ch. 10 - 10. (a) Give three common examples of vibrational...Ch. 10 - An object of known mass hangs at the end of a...Ch. 10 - Describe two different ways to estimate the spring...Ch. 10 - You have a small metal ball attached to a 1.0-m...Ch. 10 - 14. A pendulum clock is running too fast. Explain...Ch. 10 - What simplifications were used to derive the...Ch. 10 - A pendulum clock is moved from the Mississippi...Ch. 10 - 17. Oil is often found in a geological structure...Ch. 10 - A pendulum and a block hanging at the end of a...Ch. 10 - Will me frequency of vibration of a swing when you...Ch. 10 - The amplitude of vibration of a swing slowly...Ch. 10 - 23. If you walk with your arms hanging down, they...Ch. 10 - You have a pendulum with a 1-m string. What is the...Ch. 10 - 1. A low-friction cart is placed between two...Ch. 10 - * You have a ball bearing ano a bowl. You let the...Ch. 10 - 3. Draw a sketch of a pendulum indicate the...Ch. 10 - Draw a graph showing the position-versus-time...Ch. 10 - Suppose that at time zero the can attached to the...Ch. 10 - * (a) Sketch a motion diagram and a...Ch. 10 - * Devise a position-versus-time function that...Ch. 10 - * The position of a vibrating object changes as a...Ch. 10 - * The velocity of a vibrating object changes as a...Ch. 10 - 11. * A cart at the end of a spring undergoes...Ch. 10 - 12. ** Refer to the situation in Problem 10.1. (a)...Ch. 10 - You exert a 100-N pull on the end of a spring....Ch. 10 - Metronome You want to make a metronome for music...Ch. 10 - Determine the frequency of vibration of the cart...Ch. 10 - 16. * A spring with a cart at its end vibrates at...Ch. 10 - 17. A cart with mass m vibrating at the end of a...Ch. 10 - 18. * A 300-g apple is placed on a horizontal...Ch. 10 - ** A 2.0-kg cart vibrates at the end of an 18-N/m...Ch. 10 - * What were the main ideas that we used to derive...Ch. 10 - 21. * A spring with a spring constant of 1200 N/m...Ch. 10 - 22. * A person exerts a 15-N force on a cart...Ch. 10 - 23. A spring with spring constant has a 1.4-kg...Ch. 10 - * Proportional reasoning By what factor must we...Ch. 10 - Proportional reasoning By what factor must we...Ch. 10 - 26. Monkey trick at zoo A monkey has a cart with a...Ch. 10 - 27. * A frictionless cart attached to a spring...Ch. 10 - A 2.0-kg cart attached to a spring undergoes...Ch. 10 - 29 * The motion of a cart attached to a horizontal...Ch. 10 - 30. Pendulum clock Shawn wants to build a clock...Ch. 10 - Show that the expression for the frequency of a...Ch. 10 - A pendulum swings with amplitude 0.020 m and...Ch. 10 - 33. * Proportional reasoning You are designing a...Ch. 10 - 34. * Building demolition A 500-kg ball at the end...Ch. 10 - 35. * You have a pendulum with a long string whose...Ch. 10 - * Variations in g The frequency of a person's...Ch. 10 - 37. EST A graph of position versus time for an...Ch. 10 - Determine the period of a 1.3-m-long pendulum on...Ch. 10 - * You have a simple pendulum that consists of a...Ch. 10 - * Equation Jeopardy The following expression...Ch. 10 - 41. * Trampoline vibration When a 60-kg boy sits...Ch. 10 - * Proportional reasoning if you double the...Ch. 10 - 43. * Pendulum on Mars The frequency of a pendulum...Ch. 10 - 44. * bio EST Annoying sound low-frequency...Ch. 10 - 45.** A 1.2-kg block sliding at 6.0 m/s on a...Ch. 10 - 108 kg. The tower sways back and forth at a...Ch. 10 - ** You shoot a 0.050-kg arrow into a 0.50-kg...Ch. 10 - 48. * You have a pendulum whose length is 1.3 m...Ch. 10 - * You hang a 0.10-kg block from a spring, causing...Ch. 10 - 50. * imagine that you have a cart on a spring...Ch. 10 - 51. Describe one situation from everyday life in...Ch. 10 - EST twins on a swing How frequently do you need to...Ch. 10 - 53. (a) Determine the maximum speed of a girl on a...Ch. 10 - Prob. 54PCh. 10 - 55. * Feeling road vibrations in a car if the...Ch. 10 - 57. A spring oscillator and a simple pendulum have...Ch. 10 - * You attach a block (mass m) to a spring (spring...Ch. 10 - * You attach a 1.6-kg object to a spring, pull it...Ch. 10 - 60. * Traveling through Earth A hole is drilled...Ch. 10 - 61. * EST Estimate the effective spring constant...Ch. 10 - *Galileos pendulum The length L of a pendulum is...Ch. 10 - 63. * A 0.5-kg low-friction cart is moving at...Ch. 10 - 103N/m. Determine (a) by how much the ball...Ch. 10 - 67. * A 5.0-g bullet traveling horizontally at an...Ch. 10 - at the start of the swinging. (a) Determine an...Ch. 10 - 70. ** Foucault's pendulum in 1851, the French...Ch. 10 - pushed to the left with initial speed v0....Ch. 10 - Prob. 72RPPCh. 10 - Prob. 73RPPCh. 10 - Prob. 74RPPCh. 10 - Prob. 75RPPCh. 10 - Prob. 76RPPCh. 10 - Prob. 77RPPCh. 10 - BIO Resonance vibration transfer and the ear When...Ch. 10 - BIO Resonance vibration transfer and the ear When...Ch. 10 - BIO Resonance vibration transfer and the ear When...Ch. 10 - BIO Resonance vibration transfer and the ear When...Ch. 10 - BIO Resonance vibration transfer and the ear When...
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- Review. A system consists of a spring with force constant k = 1 250 N/m, length L = 1.50 m, and an object of mass m = 5.00 kg attached to the end (Fig. P15.49). The object is placed at the level of the point of attachment with the spring unstretched, at position yi = L, and then it is released so that it swings like a pendulum. (a) Find the y position of the object at the lowest point. (b) Will the pendulums period be greater or less than the period of a simple pendulum with the same mass m and length L? Explain. Figure PI 5.49arrow_forwardA spherical bob of mass m and radius R is suspended from a fixed point by a rigid rod of negligible mass whose length from the point of support to the center of the bob is L (Fig. P16.75). Find the period of small oscillation. N The frequency of a physical pendulum comprising a nonuniform rod of mass 1.25 kg pivoted at one end is observed to be 0.667 Hz. The center of mass of the rod is 40.0 cm below the pivot point. What is the rotational inertia of the pendulum around its pivot point?arrow_forward(a) A hanging spring stretches by 35.0 cm when an object of mass 450 g is hung on it at rest. In this situation, we define its position as x = 0. The object is pulled down an additional 18.0 cm and released from rest to oscillate without friction. What is its position x at a moment 84.4 s later? (b) Find the distance traveled by the vibrating object in part (a), (c) What If? Another hanging spring stretches by 35.5 cm when an object of mass 440 g is hung on it at rest. We define this new position as x = 0. This object is also pulled down an additional 18.0 cm and released from rest to oscillate without friction. Find its position 84.4 s later, (d) Find the distance traveled by the object in part (c). (e) Why are the answers to parts (a) and (c) so different when the initial data in parts (a) and (c) are so similar and the answers to parts (b) and (d) are relatively close? Does this circumstance reveal a fundamental difficulty in calculating the future?arrow_forward
- Which 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 block of mass m rests on a frictionless, horizontal surface and is attached to two springs with spring constants k1 and k2 (Fig. P16.22). It is displaced to the right and released. Find an expression for the angular frequency of oscillation of the resulting simple harmonic motion. FIGURE P16.22 Problems 22 and 81.arrow_forwardWhen a block of mass M, connected to the end of a spring of mass ms = 7.40 g and force constant k, is set into simple harmonic motion, the period of its motion is T=2M+(ms/3)k A two-part experiment is conducted with the use of blocks of various masses suspended vertically from the spring as shown in Figure P15.76. (a) Static extensions of 17.0, 29.3, 35.3, 41.3, 47.1, and 49.3 cm are measured for M values of 20.0, 40.0, 50.0, 60.0, 70.0, and 80.0 g, respectively. Construct a graph of Mg versus x and perform a linear least-squares fit to the data. (b) From the slope of your graph, determine a value for k for this spring. (c) The system is now set into simple harmonic motion, and periods are measured with a stopwatch. With M = 80.0 g, the total time interval required for ten oscillations is measured to be 13.41 s. The experiment is repeated with M values of 70.0, 60.0, 50.0, 40.0, and 20.0 g, with corresponding time intervals for ten oscillations of 12.52, 11.67, 10.67, 9.62, and 7.03 s. Make a table of these masses and times. (d) Compute the experimental value for T from each of these measurements. (e) Plot a graph of T2 versus M and (f) determine a value for k from the slope of the linear least-squares fit through the data points. (g) Compare this value of k with that obtained in part (b). (h) Obtain a value for ms from your graph and compare it with the given value of 7.40 g.arrow_forward
- Determine 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 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_forwardA spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (a) What is the force constant of the spring? (b) What are the angular frequency , the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (c) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. (g) Determine the velocity and acceleration of the particle when t = 0.500 s.arrow_forward
- An object of mass m on a spring of stiffness k oscillates with an amplitude A about its equilibrium position. Suppose that m = 300 g, k = 10 N/m, and A = 10 cm. (a) Find the total energy. (b) Find the mechanical frequency of vibration of the mass. (c) Calculate the change in amplitude when the system loses one quantum of energy.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_forwardA 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_forward
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