Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 16, Problem 40PQ
To determine
Whether Hillis’s millennium clock based on a torsion pendulum can be used to keep time on Moon or not.
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A group of astronauts, upon landing on planet X, performed a simple pendulum experiment in the MHS (Single Harmonic Movement, Small Amplitude) regime with length L=1,1132 m. In the experiment, the pendulum performs n=9 complete oscillations at t=13,5459 s.
Calculate the gravity acceleration of planet X at the experiment location. Give your answer to 4 decimal places.
A pendulum has a period of 38.8 s. If you were to transfer this pendulum to the surface of Mars (where g is 3.71 meters per second squared), what would the period (in seconds) be?
Derive the oscillation period for a physical pendulum! What is the torque, which differential equation can be written down? Which parameters does the oscillation period depend on? Apply that to your leg’s oscillation. On the surface of the earth and on the surface of Mars.Mars radius is 3389.5 km and its mass is 6.39 ∙ 1023 kg.
Chapter 16 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 16.1 - Prob. 16.1CECh. 16.2 - Prob. 16.2CECh. 16.2 - For each expression, identify the angular...Ch. 16.5 - Prob. 16.4CECh. 16.6 - Prob. 16.5CECh. 16.6 - Prob. 16.6CECh. 16 - Case Study For each velocity listed, state the...Ch. 16 - Case Study For each acceleration listed, state the...Ch. 16 - Prob. 3PQCh. 16 - Prob. 4PQ
Ch. 16 - Prob. 5PQCh. 16 - Prob. 6PQCh. 16 - The equation of motion of a simple harmonic...Ch. 16 - The expression x = 8.50 cos (2.40 t + /2)...Ch. 16 - A simple harmonic oscillator has amplitude A and...Ch. 16 - Prob. 10PQCh. 16 - A 1.50-kg mass is attached to a spring with spring...Ch. 16 - Prob. 12PQCh. 16 - Prob. 13PQCh. 16 - When the Earth passes a planet such as Mars, the...Ch. 16 - A point on the edge of a childs pinwheel is in...Ch. 16 - Prob. 16PQCh. 16 - Prob. 17PQCh. 16 - A jack-in-the-box undergoes simple harmonic motion...Ch. 16 - C, N A uniform plank of length L and mass M is...Ch. 16 - Prob. 20PQCh. 16 - A block of mass m = 5.94 kg is attached to a...Ch. 16 - A block of mass m rests on a frictionless,...Ch. 16 - It is important for astronauts in space to monitor...Ch. 16 - Prob. 24PQCh. 16 - A spring of mass ms and spring constant k is...Ch. 16 - In an undergraduate physics lab, a simple pendulum...Ch. 16 - A simple pendulum of length L hangs from the...Ch. 16 - We do not need the analogy in Equation 16.30 to...Ch. 16 - Prob. 29PQCh. 16 - Prob. 30PQCh. 16 - Prob. 31PQCh. 16 - Prob. 32PQCh. 16 - Prob. 33PQCh. 16 - Show that angular frequency of a physical pendulum...Ch. 16 - A uniform annular ring of mass m and inner and...Ch. 16 - A child works on a project in art class and uses...Ch. 16 - Prob. 37PQCh. 16 - Prob. 38PQCh. 16 - In the short story The Pit and the Pendulum by...Ch. 16 - Prob. 40PQCh. 16 - A restaurant manager has decorated his retro diner...Ch. 16 - Prob. 42PQCh. 16 - A wooden block (m = 0.600 kg) is connected to a...Ch. 16 - Prob. 44PQCh. 16 - Prob. 45PQCh. 16 - Prob. 46PQCh. 16 - Prob. 47PQCh. 16 - Prob. 48PQCh. 16 - A car of mass 2.00 103 kg is lowered by 1.50 cm...Ch. 16 - Prob. 50PQCh. 16 - Prob. 51PQCh. 16 - Prob. 52PQCh. 16 - Prob. 53PQCh. 16 - Prob. 54PQCh. 16 - Prob. 55PQCh. 16 - Prob. 56PQCh. 16 - Prob. 57PQCh. 16 - An ideal simple harmonic oscillator comprises a...Ch. 16 - Table P16.59 gives the position of a block...Ch. 16 - Use the position data for the block given in Table...Ch. 16 - Consider the position data for the block given in...Ch. 16 - Prob. 62PQCh. 16 - Prob. 63PQCh. 16 - Use the data in Table P16.59 for a block of mass m...Ch. 16 - Consider the data for a block of mass m = 0.250 kg...Ch. 16 - A mass on a spring undergoing simple harmonic...Ch. 16 - A particle initially located at the origin...Ch. 16 - Consider the system shown in Figure P16.68 as...Ch. 16 - Prob. 69PQCh. 16 - Prob. 70PQCh. 16 - Prob. 71PQCh. 16 - Prob. 72PQCh. 16 - Determine the period of oscillation of a simple...Ch. 16 - The total energy of a simple harmonic oscillator...Ch. 16 - A spherical bob of mass m and radius R is...Ch. 16 - Prob. 76PQCh. 16 - A lightweight spring with spring constant k = 225...Ch. 16 - Determine the angular frequency of oscillation of...Ch. 16 - Prob. 79PQCh. 16 - A Two springs, with spring constants k1 and k2,...Ch. 16 - Prob. 81PQCh. 16 - Prob. 82PQ
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- A 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_forwardIf the speed of the observer is increased by 5.0%, what is the period of the pendulum when measured by this observer?arrow_forwardA pendulum with a period of 2.00000 s in one location (g=9.80m/s2) is moved to a new location where the period is now 1.99796 s. What is the acceleration due to gravity at its new location?arrow_forward
- 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_forwardDerive the oscillation period for a physical pendulum! What is the torque, which differential equation can be written down? Which parameters does the oscillation period depend on?Apply that to your leg’s oscillation. On the surface of the earth and on the surface of Mars.Mars radius is 3389.5 km and its mass is 6.39 ∙ 1023 kg.arrow_forwardIf a pendulum has period T and you double its length, what is its new period in terms of T? If a pendulum has a length L and you want to triple its frequency, what should be its length in terms of L? Suppose a pendulum has a length L and period T on earth. If you take it to a planet where the acceleration of freely falling objects is ten times what it is on earth, what should you do to the length to keep the period the same as on earth? If you do not change the pendulum's length in part (c), what is its period on that planet in terms of T? If a pendulum has a period T and you triple the mass of its bob, what happens to the period (in terms of T)?arrow_forward
- An astronaut travels to a far-away moon with a 1.5 m long pendulum. She finds it takes her pendulum 6.0837 seconds to complete one full oscillation. (a) What is the acceleration due to gravity on this moon? (b) What is the frequency of this pendulum? (c) If this pendulum were brought back to Earth, how would its frequency on Earth compare to its frequency while on the moon?arrow_forward10° kg m3 with radius Rp 3.9 x 10° km, while period of the 5.5 x 10° kg m3. Calculate the period of oscillation of a pendulum on a planet of density Pp = same pendulum on Earth is TE= 2.1 s. Assume the Earth to be a sphere of radius RE 6.4 × 10° km and density of pE Give your answer in SI units.arrow_forwardCalculate the period of oscillation of a pendulum on a planet of density pp = 10° kg m3 with radius Rp = 3.9 x 10 km, while period of the same pendulum on Earth is Tg=1.2 s. Assume the Earth to be a sphere of radius Rp = 6.4 x 103 km and density of er = 5.5 × 10³ kg m3. Give your answer in SI units. Answer: Choose.. Next pagearrow_forward
- vezsion1. Question 1: A mass m attached to a horizontal spring of spring constant k is oscillating on a frictionless surface. If this mass-spring system makes 180 oscillations during a time interval of 6 minutes, then the frequency of oscillations is:arrow_forwardAn astronaut sets up a pendulum on the Moon, where the acceleration due to gravity is 1/6 that of Earth. If she finds that she must push the pendulum with a frequency of 0.10 Hz to maintain a swinging motion, what is the length of the pendulum?arrow_forwardThe period of a clock pendulum T is given by the equation T = 2π√Lg where the constant L is thelength of the pendulum and g is the acceleration due to gravity. The period of the clock pendulumvaries slightly depending on where it is located on earth’s surface, due to small changes in g.(a) If g increases, will T increase or decrease? Does this correspond to the clock speeding up orslowing down? Explain your reasoning.(b) Find the linear approximation for T (g) centered at g = 980 cm/sec2, if the length of the pendulumis 400 cm.(c) When a clock with a 400 cm pendulum is moved from a location where g = 980 cm/sec2to anew location, its period increases by .001 sec. Estimate the amount by which g changes andapproximate the value of g at the new location.arrow_forward
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