Page 17 of 20Question 17 (1 point)The period of a simple pendulum depends on the mass, the acceleration due togravity, and the length of the pendulum.a) Trueb) FalsePrevious PageNext PageSubmit Quiz0 of 20 questions savedPage 17 of 20CalculatorGuidelinesWebcam

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Answered: Page 17 of 20 Question 17 (1 point) The…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 9CQ: The temperature of the atmosphere oscillates from a maximum near noontime and a minimum near...

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Check Your Understanding An engineer builds two simple pendulums. Both are suspended from small wires secured to the ceiling of a room. Each pendulum hovers 2 cm above the floor. Pendulum 1 has a bob with a mass of 10 kg. Pendulum 2 has a bob with a mass of 100 kg. Describe how the motion of the pendulums will differ if the bobs are both displaced by 12°.
If the speed of the observer is increased by 5.0%, what is the period of the pendulum when measured by this observer?
A pendulum dork depends on the period of a pendulum to keep correct time. Suppose a pendulum dock is keeping correct time and then Dennis the Menace slides the bob of the pendulum downward on the oscillating rod. Does the clock run (a) slow, (b) fast, or (c) correctly?
A pendulum clock works by measuring the period of a pendulum. In the springtime the clock runs with perfect time, but in the summer and winter the length of the pendulum changes. When most materials are heated, they expand. Does the clock run too fast or too slow in the summer? What about the winter?
It is important for astronauts in space to monitor their body weight. In Earth orbit, a simple scale only reads an apparent weight of zero, so another method is needed. NASA developed the body mass measuring device (BMMD) for Skylab astronauts. The BMMD is a spring-mounted chair that oscillates in simple harmonic motion (Fig. P16.23). From the period of the motion, the mass of the astronaut can be calculated. In a typical system, the chair has a period of oscillation of 0.901 s when empty. The spring constant is 606 N/m. When a certain astronaut sits in the chair, the period of oscillation increases to 2.37 s. Determine the mass of the astronaut. FIGURE P16.23
The pendulum on a cuckoo clock is 5.00-cm long. What is its frequency?
What is the period of a 1.00-m-long pendulum?
Your thumb squeaks on a plate you have just washed. Your sneakers squeak on the gym floor. Car tires squeal when you start or stop abruptly. You can make a goblet sing by wiping your moistened finger around its rim. When chalk squeaks on a blackboard, you can see that it makes a row of regularly spaced dashes. As these examples suggest, vibration commonly results when friction acts on a moving elastic object. The oscillation is not simple harmonic motion, but is called stick-and-slip. This problem models stick-and-slip motion. A block of mass m is attached to a fixed support by a horizontal spring with force constant k and negligible mass (Fig. P15.42). Hookes law describes the spring both in extension and in compression. The block sits on a long horizontal board, with which it has coefficient of static friction k and a smaller coefficient of kinetic friction k. The board moves to the right at constant speed v. Assume the block spends most of its time sticking to the board and moving to the right with it, so the speed v is small in comparison to the average speed the block has as it slips back toward the left. (a) Show that the maximum extension of the spring from its unstressed position is very nearly given by s mg/k. (b) Show that the block oscillates around an equilibrium position at which the spring is stretched by k mg/k. (c) Graph the blocks position versus time. (d) Show that the amplitude of the blocks motion is A=(sk)mgk Figure P15.42 (e) Show that the period of the blocks motion is T=2(sk)mgvk+mk It is the excess of static over kinetic friction that is important for the vibration. The squeaky wheel gets the grease because even a viscous fluid cannot exert a force of static friction.
Find the frequency of a tuning fork that takes 2.50103 s to complete one oscillation.
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?
If a pendulum-driven clock gains 5.00 s/day, what fractional change in pendulum length must be made for it to keep perfect time?
A 2.00-kg block lies at rest on a frictionless table. A spring, with a spring constant of 100 N/m is attached to the wall and to the block. A second block of 0.50 kg is placed on top of the first block. The 2.00-kg block is gently pulled to a position x=+A and released from rest. There is a coefficient of friction of 0.45 between the two blocks. (a) What is the period of the oscillations? (b) What is the largest amplitude of motion that will allow the blocks to oscillate without the 0.50-kg block sliding off?

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Page 17 of 20 Question 17 (1 point) The period of a simple pendulum depends on the mass, the acceleration due to gravity, and the length of the pendulum. a) True b) False Previous Page Next Page Submit Quiz 0 of 20 questions saved Page 17 of 20 Calculator Guidelines Webcam