A simple pendulum has a mass of 0.250 kilograms and a length of 1.00 meter. It is displaced at an angle of 0 = – rad and then released. (a) What is the maximum 12 restoring force on the mass? (b) What is the angular displacement 0 at time t = 2.341605s

A simple pendulum has a mass of 0.250 kilograms and a length of 1.00 meter. It is displaced at an angle of 0 = – rad and then released. (a) What is the maximum 12 restoring force on the mass? (b) What is the angular displacement 0 at time t = 2.341605s

Name: A simple pendulum has a mass of 0.250 kilograms and a length of 1.00
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: A simple pendulum has a mass of 0.250 kilograms and a length of 1.00 meter. It isdisplaced at an angle of 0rad and then released. (a) What is the maximum%3!12restoring force on the mass? (b) What is the angular displacement 0 at time t =2.341605s

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter39: Relativity

Section: Chapter Questions

Problem 1PQ

See similar textbooks

Related questions

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = 0, the pendulum is at its…

Q: The angle that a swinging simple pendulum makes with the vertical obeys the equation ̋(t) = (0.150…

A: As question is incomplete but I'm doing some correction to make it complete. I hope it will help…

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

Q: 6. A simple pendulum of length L = 100 cm is shown in Fig. P6.16. The angular dis- placement 0(t) in…

A: ) comparing with, angular amplitude=0.5 here n=frequency n=0.498 T=2 seconds b) time required…

Q: A physical pendulum consists of a uniform rod that can swing freely from one end, with a small,…

A: To determine: The period of physical pendulum consisting of uniform rod

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = 0, the pendulum is at its…

Q: A pendulum's angular position is given by 0 = 0.0290 cos(wt), where 0 is in radians and w = 7.18…

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

Q: In the figure, a solid cylinder M attached to a horizontal spring k (k = 3.00 N/m) rolls without…

A: Given:- spring constant = 3.0 Nm spring stretched by the 0.250 m Find:- a)…

Q: A pendulum swings in simple harmonic motion at the surface of the Earth, the angle the pendulum…

A: Given : equation of angle of pendulum, θ = 0.14 cos(5.72t)

Q: The pendulum in the figure consists of a uniform disk with radius r = 14.0 cm and mass 860 g…

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

Q: A pendulum's angular position is given by 0 = 0.0300 cos(@t), where 0 is in radians and w = 8.48…

A: Given, angular position of a pendulum, θ= 0.0300 cosωt ω= 8.48 rads

Q: A 0.31-kg uniform rod whose length is 0.52 m acts as a physical pendulum. What is the period and…

A: Given: The mass of rod is m=0.31 kg. The length of rod is L=0.52 m. The expression to calculate…

Q: A simple pendulum of length L = 0.2 m, is at its equilibrium position. At t = 0, the pendulum is…

Q: We have a simple pendulum, composed of a mass of 5.00kg hanging from a thread of negligible mass.…

A: Write the given values with suitable variables. m=5 kθ=π6ω=9 rad/s Here, m denotes the mass, θ…

Q: A physical pendulum in the form of a planar object moves in simple harmonic motion with a frequency…

A: It is given that, f=0.395 Hzd=0.370 mm=2.10 kg

Q: A spring is compressed by 0.0610 m and is used to launch an object horizontally with a speed of 2.80…

A: Given, Compression in the spring = 0.0610 m. The horizontal speed of the object = 2.80 m/s.…

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

Q: A grandfather clock can be approximated as a simple pendulum of length 1.00 m and keeps accurate…

Q: What is the magnitude of the acceleration due to gravity in a region where a simple pendulum with a…

A: Given : Length of simple Pendulum, L = 75.000 cm 75.000*10-2 m Time period, T = 1.7357 s

Q: A simple pendulum is made of a 50 cm-string and a particle like bob of mass m = 10 g. At t= 0, the…

Q: A 95 kg solid sphere with a 15 cm radius is suspended by a vertical wire. A torque of 0.20 Nm is…

Q: A simple pendulum is made of a 50 cm-string and a particle like bob of mass m = 10 g Att= 0, the…

A: The simple pendulum’s frequency can be determined as, Here, T represents the oscillation’s time…

Q: A simple pendulum is made of a 50 cm-string and a particle like bob of mass m 10 g. At t= 0, the…

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

Q: The position of an oscillating object in cm is described by x = (3) cos 8πt, where t is in seconds.…

A: Given that position of the oscillating object then we have to determine time taken by the particle…

Q: A 1.5-m length pendulum is displaced by an initial angle = +6° and released from rest. If the…

A: Frequency of oscillations is proportional to acceleration due to gravity and inversely to length for…

Q: Interestingly, there have been several studies using cadavers to determine the moment of inertia of…

A: Given:- Interestingly, there have been several studies using cadavers to determine…

Q: A pendulum's angular position is given by 0 = 0.0310 cos(wt), where 0 is in radians and w = 8.58…

Q: *) A physical pendulum has the form of a washer of mass M, outer radius Ro and inner radius R:. It…

A: It is proved Find in explanation section.

Q: A pendulum swings in simple harmonic motion at the surface of the Earth, the angle the pendulum…

Q: A simple pendulum is made of a 10 cm- string and a particle like bob of mass m. Take g = 10 m/s².…

Q: A pendulum consists of a 320-g solid ball 15.0 cm in diameter, suspended by an essentially massless…

A: The radius of the ball is, R=d2=15 cm2=7.5 cm0.01 m1 cm=0.075 m The moment of inertia of the solid…

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

Q: the pendulum consists of a uniform disk with radius r = 10.0 cm and mass 500 g attached to a uniform…

Q: A physical pendulum in the form of a planar object moves in simple harmonic motion with a frequency…

A: I = moment of inertia of the pendulum

Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

Topic Video

Question

A simple pendulum has a mass of 0.250 kilograms and a length of 1.00 meter. It is
displaced at an angle of 0
rad and then released. (a) What is the maximum
%3!
12
restoring force on the mass? (b) What is the angular displacement 0 at time t =
2.341605s

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Part (a)

VIEW

Part (b)

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

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

A simple pendulum consists of a 0.8-kg bob connected to a masslesss inextensible cord with a length L= 1.4 m. The bob is set into motion and its angular displacement is given by 0(t) = 0.11cos(wt), where 0 is in radians and tis in seconds. Take g= 9.8 m/s^2, determine the mechanical energy of this pendulum. 0.052 J 0.090 J 0.046 J 0.066 J 0 085 J A musical note on a piano has a frequency of 40 H2. If the tension in the 2-m string is 308 N. and one-half wavelength occupies the string, what is the mass of the wire? O 0019 kg
A simple pendulum is made of a 2 m-string and a bob of mass m. Att 0, the pendulum is at its equilibrium position and is given an initial velocity v = 0.2 m/s. The maximum angular speed, O'max, is: 0.05 rad/s 0.2 rad/s 0.1 rad/s 0.4 rad/s 0.8 rad/s
A simple pendulum is made of a 2 m- string and a bob of mass m. At t = 0, the pendulum is at its equilibrium position and is given an initial velocity v = 0.2 m/s. The maximum angular speed, e'max, is: O 0.05 rad/s 0.1 rad/s 0.8 rad/s 0.2 rad/s 0.4 rad/s
A simple pendulum is made of a 50 cm- string and a bob of mass m. At t = 0, the pendulum is at its equilibrium position and is given an initial velocity v = 0.2 m/s. The maximum angular speed, e'max, is: O 0.4 rad/s 0.8 rad/s 0.05 rad/s O 0.1 rad/s O 0.2 rad/s
A simple pendulum is made of a 50 cm-string and a bob of mass m. At t =0, the pendulum is at its equilibrium position and is given an initial velocity v = 0.1 m/s. The maximum angular speed, e'max, is. 0.8 rad/s O04rad/s 0.05 rad/s 0.2 rad/s O 01 rad/s
A simple pendulum is made of a 50 cm-string anda bob of mass m. At t = 0, the pendulum is at its equilibrium position and is given an initial velocity v = 0.1 m/s. The maximum angular speed, Өтах, is: O 0.8 rad/s O 0.1 rad/s O 0.4 rad/s 0.2 rad/s O 0.05 rad/s
A small ball of mass 0.5 kg is attached to one end of a 1.8-m-long massless rod, and the other end of the rod is hung from a pivot. When the resulting pendulum is 40◦ from the vertical, what is the magnitude of thegravitational torque calculated about the pivot?
A 20-centimeter pendulum moves according to the equation ? = 0.27 cos(6t), where ? is the angular displacement from the vertical in radians and t is the time in seconds. Determine the maximum angular displacement ?max and the rate of change of ? when t = 5 seconds. (Round your answers to three decimal places.) ?max = ?'(5) =
Express each of the following in terms of the other angular measures: (a) 38o ,(b) 1/8 rev, (c) 2.18 rad, and (d) 130 gradient.
A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L = 1.1 m. The bob is set into motion and its angular displacement is given by 0(t) = 0.11cos(wt), where 0 is in radians and tis in seconds. Take g = 9.8 m/s^2, determine the mechanical energy of this pendulum. O 0.090 J O 0.085 J O 0.066 J O 0.052 J O 0.046 J o 日 e
A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = O, the pendulum is at its equilibrium position and is given an initial velocity v = 0.2 m/s. The maximum angular speed, %3D O'max, is:
A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a lengthL = 1.4 m. The bob is set into motion and its %3D angular displacement is given by e(t) = 0.11cos(wt), where e is in radians and t is in seconds. Take g = 9.8 m/s^2, determine the mechanical energy of this pendulum.