Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 15, Problem 30EAP
A 100 g mass on a 1.0-m-long string is pulled
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This, the length of the pendulum is 2.08 m. Now you start with the pendulum at 13.8 degrees with respect to the vertical, but rather than releasing it from rest, you give it a push downward. It swings to the other side, and reaches a maximum angle of 34.5 degrees with respect to the vertical. What must have been the initial speed of the pendulum just after you pushed it?
2.68 m/s
1.09 m/s
3.75 m/s
2.45 m/s
This time the pendulum is 1.31 m long. Suppose you start with the pendulum hanging vertically, at rest. You then give it a push so that it starts swinging with a speed of 1.15 m/s. What maximum angle (in degrees) will it reach, with respect to the vertical, before falling back down?
29.6 degrees
24.1 degrees
18.5 degrees
9.3 degrees
A 0.500-kg mass is suspended from a string, forming a pendulum. The period of this pendulum is 3.16 s when the amplitude is 1.00 cm. The mass of the pendulum is now reduced to 0.250 kg. What is the period of oscillation now, when the amplitude is 2.00 cm?
Chapter 15 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Ch. 15 - Prob. 1CQCh. 15 - A pendulum on Planet X, where the value of g is...Ch. 15 - FIGURE Q15.3 shows a position-versus-time graph...Ch. 15 - FIGURE Q15.4 shows a position-versus-time graph...Ch. 15 - 5. Equation 15.25 states that . What does this...Ch. 15 - A block oscillating on a spring has an amplitude...Ch. 15 - A block oscillating on a spring has a maximum...Ch. 15 - 8. The solid disk and circular hoop in FIGURE...Ch. 15 - FIGURE Q15.9 shows the potential-energy diagram...Ch. 15 - Suppose the damping constant b of an oscillator...
Ch. 15 - Prob. 11CQCh. 15 - 12. What is the difference between the driving...Ch. 15 - An air-track glider attached to a spring...Ch. 15 - An air-track is attached to a spring. The glider...Ch. 15 - Prob. 3EAPCh. 15 - An object in SHM oscillates with a period of 4.0 s...Ch. 15 - What are the (a) amplitude, (b) frequency, and (c)...Ch. 15 - What are the (a) amplitude, (b) frequency, and (c)...Ch. 15 - FIGURE EX15.7 is the Position-versus-time graph of...Ch. 15 - FIGURE EX15.8 is the velocity-versus-time graph of...Ch. 15 - An object in simple harmonic motion has an...Ch. 15 - An object in simple harmonic motion has amplitude...Ch. 15 - An object in simple harmonic motion has amplitude...Ch. 15 - An object in simple harmonic motion has amplitude...Ch. 15 - An air-track glider attached to a spring...Ch. 15 - 14. A block attached to a spring with unknown...Ch. 15 - 15. A 200 g air-track glider is attached to a...Ch. 15 - A 200 g mass attached to a horizontal spring...Ch. 15 - Prob. 17EAPCh. 15 - A 1.0 kg block is attached to a spring with spring...Ch. 15 - Prob. 19EAPCh. 15 - Prob. 20EAPCh. 15 - A spring is hanging from the ceiling. Attaching a...Ch. 15 - 22. A spring with spring constant 15 N/m hangs...Ch. 15 - 23. A spring is hung from the ceiling. When a...Ch. 15 - Prob. 24EAPCh. 15 - A 200 g ball is tied to a string. It is pulled to...Ch. 15 - Prob. 26EAPCh. 15 - Prob. 27EAPCh. 15 - Prob. 28EAPCh. 15 - Prob. 29EAPCh. 15 - A 100 g mass on a 1.0-m-long string is pulled 8.0...Ch. 15 - A uniform steel bar swings from a pivot at one end...Ch. 15 - Prob. 32EAPCh. 15 - Prob. 33EAPCh. 15 - Prob. 34EAPCh. 15 - Vision is blurred if the head is vibrated at 29 Hz...Ch. 15 - Prob. 36EAPCh. 15 - Prob. 37EAPCh. 15 - a. When the displacement of a mass on a spring is...Ch. 15 - For a particle in simple harmonic motion, show...Ch. 15 - A 100g block attached to a spring with spring...Ch. 15 - A 0.300 kg oscillator has a speed of 95.4cm/s when...Ch. 15 - An ultrasonic transducer, of the type used in...Ch. 15 - Astronauts in space cannot weigh themselves by...Ch. 15 - 44. Your lab instructor has asked you to measure a...Ch. 15 - A 5.0 kg block hangs from a spring with spring...Ch. 15 - Prob. 46EAPCh. 15 - A block hangs in equilibrium from a vertical...Ch. 15 - Prob. 48EAPCh. 15 -
49. Scientists are measuring the properties of a...Ch. 15 - Prob. 50EAPCh. 15 - A compact car has a mass of 1200 kg. Assume that...Ch. 15 - Prob. 52EAPCh. 15 - Prob. 53EAPCh. 15 - Prob. 54EAPCh. 15 - Prob. 55EAPCh. 15 - Prob. 56EAPCh. 15 - Prob. 57EAPCh. 15 - A uniform rod of mass M and length L swings as a...Ch. 15 - Prob. 59EAPCh. 15 - 60. A 500 g air-track glider attached to a spring...Ch. 15 - Prob. 61EAPCh. 15 - Prob. 62EAPCh. 15 - A molecular bond can be modeled as a spring...Ch. 15 - Prob. 64EAPCh. 15 - Prob. 65EAPCh. 15 - Prob. 66EAPCh. 15 - The 15 g head of a bobble-head doll oscillates in...Ch. 15 - An oscillator with a mass of 500 g and a period of...Ch. 15 - Prob. 69EAPCh. 15 - Prob. 70EAPCh. 15 - Prob. 71EAPCh. 15 - Prob. 72EAPCh. 15 - Prob. 73EAPCh. 15 - A block ona frictionless FIGURE P15.74 to two...Ch. 15 - Prob. 75EAPCh. 15 - Prob. 76EAPCh. 15 - A solid sphere of mass M and radius R is suspended...Ch. 15 - A uniform rod of length L oscillates as a pendulum...Ch. 15 - Prob. 79EAPCh. 15 - Prob. 80EAPCh. 15 - FIGURE CP15.81 shows a 200 g uniform rod pio4ed at...
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- The angular position of a pendulum is represented by the equation = 0.032 0 cos t, where is in radians and = 4.43 rad/s. Determine the period and length of the pendulum.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_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
- If a simple pendulum oscillates with small amplitude and its length is doubled, what happens to the frequency of its motion? (a) It doubles. (b) It becomes 2 times as large. (c) It becomes half as large. (d) It becomes 1/2 times as large. (e) It remains the same.arrow_forwardA 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_forwardA simple pendulum has mass 1.20 kg and length 0.700 m. (a) What is the period of the pendulum near the surface of Earth? (b) If the same mass is attached to a spring, what spring constant would result in the period of motion found in part (a)?arrow_forward
- A 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 blockspring system oscillates with an amplitude of 3.50 cm. The spring constant is 250 N/m and the mass of the block is 0.500 kg. Determine (a) the mechanical energy of the system, (b) the maximum speed of the block, and (c) the maximum acceleration.arrow_forwardA watch balance wheel (Fig. P15.25) has a period of oscillation of 0.250 s. The wheel is constructed so that its mass of 20.0 g is concentrated around a rim of radius 0.500 cm. What are (a) the wheels moment of inertia and (b) the torsion constant of the attached spring? Figure P15.23arrow_forward
- 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_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 500-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 10.0 cm. Calculate the maximum value of its (a) speed and (b) acceleration, (c) the speed and (d) the acceleration when the object is 6.00 cm from the equilibrium position, and (e) the time interval required for the object to move from x = 0 to x = 8.00 cm.arrow_forward
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SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY