To determine The frequency of oscillation. Explanation We can calculate the frequency of oscillation because it just depends on the distance that it is stretched, and we can prove it using the Newton’s second law. Given: The spring stretches 2 cm after a block is attached to it. Formula used: The frequency is calculated as: f = w 2 π Where w is the angular velocity and it is calculated as: w = k m Where k is the spring constant and m is the mass of the block. Since we do not know the value of the spring constant or the mass, we need to use the Newton’s second law with the spring force and the weight of the block: k · x − m · g = m · a Where x is the distance that the spring is stretched. Since the block is not moving, the acceleration is zero and k is: k = m · g x Substituting at the equation of the angular velocity: w = m · g x

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

4th Edition

ISBN: 9780133942651

Author: Randall D. Knight (Professor Emeritus)

Publisher: PEARSON

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Chapter 15, Problem 23EAP

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The frequency of oscillation.

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Chapter 15 Solutions

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Ch. 15 - Prob. 1CQ Ch. 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. 11CQ Ch. 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. 3EAP Ch. 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. 17EAP Ch. 15 - A 1.0 kg block is attached to a spring with spring...Ch. 15 - Prob. 19EAP Ch. 15 - Prob. 20EAP Ch. 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. 24EAP Ch. 15 - A 200 g ball is tied to a string. It is pulled to...Ch. 15 - Prob. 26EAP Ch. 15 - Prob. 27EAP Ch. 15 - Prob. 28EAP Ch. 15 - Prob. 29EAP Ch. 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. 32EAP Ch. 15 - Prob. 33EAP Ch. 15 - Prob. 34EAP Ch. 15 - Vision is blurred if the head is vibrated at 29 Hz...Ch. 15 - Prob. 36EAP Ch. 15 - Prob. 37EAP Ch. 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. 46EAP Ch. 15 - A block hangs in equilibrium from a vertical...Ch. 15 - Prob. 48EAP Ch. 15 - 49. Scientists are measuring the properties of a...Ch. 15 - Prob. 50EAP Ch. 15 - A compact car has a mass of 1200 kg. Assume that...Ch. 15 - Prob. 52EAP Ch. 15 - Prob. 53EAP Ch. 15 - Prob. 54EAP Ch. 15 - Prob. 55EAP Ch. 15 - Prob. 56EAP Ch. 15 - Prob. 57EAP Ch. 15 - A uniform rod of mass M and length L swings as a...Ch. 15 - Prob. 59EAP Ch. 15 - 60. A 500 g air-track glider attached to a spring...Ch. 15 - Prob. 61EAP Ch. 15 - Prob. 62EAP Ch. 15 - A molecular bond can be modeled as a spring...Ch. 15 - Prob. 64EAP Ch. 15 - Prob. 65EAP Ch. 15 - Prob. 66EAP Ch. 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. 69EAP Ch. 15 - Prob. 70EAP Ch. 15 - Prob. 71EAP Ch. 15 - Prob. 72EAP Ch. 15 - Prob. 73EAP Ch. 15 - A block ona frictionless FIGURE P15.74 to two...Ch. 15 - Prob. 75EAP Ch. 15 - Prob. 76EAP Ch. 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. 79EAP Ch. 15 - Prob. 80EAP Ch. 15 - FIGURE CP15.81 shows a 200 g uniform rod pio4ed at...

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