Physics Laboratory Experiments
8th Edition
ISBN: 9781285738567
Author: Jerry D. Wilson, Cecilia A. Hernández-Hall
Publisher: Cengage Learning
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Textbook Question
Chapter 4, Problem 4ASA
How does the period of a pendulum vary theoretically with (a) length, (b) mass of bob, and (c)
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Consider a place where the gravity is one-ninth the gravity on Earth (g' = g/9),
then the frequency of oscillation of a simple pendulum in that place, f', as
compared to its frequency on earth is:
O f'= 2f
O f'= 4f
O f = f/2
O f = 9f
O f= f/3
A simple pendulum consists of a 0.8-kg bob connected to a massless
%3D
inextensible cord with a length L = 1.9 m. The bob is set into motion and its
angular displacement is given by e(t) = 0.11cos(wt), where e is in radians and t is
Talra g a 9.8 m/s 2. determine the mechanical energy of this
A mass m is dropped from a height h above the hole in the earth's surface, (a) With what speed will m pass through the center of the earth? (b) Will harmonic motion be simple? (c) Will it be a periodic movement? Give reasons for your answers.
In an oscillatory motion of a simple
pendulum, the ratio of the maximum
angular acceleration, e"max, to the
maximum angular velocity, e'max, is t
s^(-1). What is the time needed for the
pendulum to complete two oscillations?
O 1 sec
O 4 sec
O 0.25 sec
O 0.5 sec
O 2 sec
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Chapter 4 Solutions
Physics Laboratory Experiments
Ch. 4 - Scientists use models and theories to describe...Ch. 4 - Prob. 2EPCh. 4 - Prob. 3EPCh. 4 - The mass (m) of the pendulum bob may be varied....Ch. 4 - Check with one of your fellow students (or your...Ch. 4 - Describe what is meant by the scientific method...Ch. 4 - What are the physical parameters in the...Ch. 4 - Prob. 3ASACh. 4 - How does the period of a pendulum vary...Ch. 4 - How will you experimentally check the theoretical...
Ch. 4 - Prob. 6ASACh. 4 - How can the parabolic form y = ax2 be plotted as a...Ch. 4 - What is meant by damped harmonic motion, and what...Ch. 4 - It was suggested that you measure the time for...Ch. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Suppose in the damped equation had ek1t and ek2t,...Ch. 4 - Prob. 7Q
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- We do not need the analogy in Equation 16.30 to write expressions for the translational displacement of a pendulum bob along the circular arc s(t), translational speed v(t), and translational acceleration a(t). Show that they are given by s(t) = smax cos (smpt + ) v(t) = vmax sin (smpt + ) a(t) = amax cos(smpt + ) respectively, where smax = max with being the length of the pendulum, vmax = smax smp, and amax = smax smp2.arrow_forwardCheck 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°.arrow_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
- 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_forwardIf the amplitude of a damped oscillator decreases to 1/e of its initial value after n periods, show that the frequency of the oscillator must be approximately [1 − (8π2n2)−1] times the frequency of the corresponding undamped oscillator.arrow_forwardThe 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_forward
- Assume that a pendulum used to drive a grandfather clock has a length L0=1.00 m and a mass M at temperature T=20.00 °C. It can be modeled as a physical pendulum as a rod oscillating around one end. By what percentage will the period change if the temperature increases by 10°C? Assume the length of the rod changes linearly with temperature, where L=L0(1+T) and the rod is made of (=18106C1) .arrow_forwardMost harmonic oscillators are damped and, if undriven, eventually come to a stop. Why?arrow_forwardIn an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max, to the maximum angular velocity, e'max, is tt s^(-1). What is the time needed for the pendulum to complete two oscillations? 4 sec 2 sec 1 sec 0.5 sec 0.25secarrow_forward
- The period (T) and length (L) values of a simple pendulum found in the table below were obtained experimentally. L(m) T(s) 1 2,01 1,1 2,11 1,2 2,20 1,3 2,29 1,4 2,38 1,5 2,46 1,6 2,54 Knowing that: T=2π√(L/g) and from linearization Y=T, A = 2π/√g , X=L e B=0. Calculate: a) The value of the angular coefficient of the line that best fits the experimental points of a T chart (y-axis) x √L (x-axis). (don't forget the error propagated) b) Value g with the correct amount of significant digits.arrow_forwardA mass m tied to the end of a spring with a spring constant k completes one oscillation in time T given by the following equation: T=2π₁ k (a) By what factor does the period (7) change if m doubles and the k halves: O 0.25 O 3 O 2 O 0.5 m O no change (b) By what factor does the period (T) change if m halves and the k halves: O 0.25 O 3 O 2 O 0.5 O no change (c) By what factor does the period (T) change if m decreases to a quarter of its original value (0.25 m) and the k remains the same: O 0.25 O 3 O 2 O 0.5 O no changearrow_forwardAfter landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 46.0 cm. The explorer finds that the pendulum completes 96.0 full swing cycles in a time of 145 s. What is the magnitude of the gravitational acceleration on this planet? Express your answer in meters per second per second. If we use idea of simple pendulum, such that the period or T = square root of the length/g cycles, I believe that 2 pie when when get rid of square root makes 2 pie become 4 pie. Please the math steps in detail where g= 4pie^2/T^2 I need to get the steps right, so I can use 2pie*sqare riit if L/Garrow_forward
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