Show that the maximum tension in the string of a simple pendulum, when the amplitude θm is small, is mg(1+θm^2). At what position of the pendulum is the tension a maximum

Q: A particle of mass m is in a one-dimensional potential field, where its potential energy depends on…

A: Ux=U01- cosαxFx=dUxdx=dU01- cosαxdx=U0α sinαx we know for SHM  At equilibrium…

Q: A body of mass m is suspended by a rod of length L that pivots without friction (as shown). The mass…

A: a. Draw the free-body diagram of the mass m.

Q: A grandfather clock uses a pendulum to measure time. A model of this pendulum is constructed as…

A:

Q: Consider a place where the gravity is one-fourth the gravity on Earth (g' = g/4), then the frequency…

A:

Q: This, the length of the pendulum is 2.46 m. Now you start with the pendulum at 18.2 degrees with…

A: Let initial speed is u ( at point A )

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

A: Given a simple pendulum of length  l=0.2mat its equilibrium postiton. Given the maximum angular…

Q: Consider a place where the gravity is one-fourth the gravity on Earth (g' = g/4), then the frequency…

A: 2) We know in earth the acceleration due to gravity is g, and consider the frequency of the simple…

Q: A mass m is dropped from a height h above the hole in the earth's surface, (a) With what speed will…

A:

Q: A 5 kg block hangs from a spring with a spring constant of 5  N/m. At t=0s the block is  3  m below…

A:

Q: A trolley with a mass m = 0.82 kg is attached to a spring with a spring coefficient k = 35 N / m in…

A: "As per the guidelines i solved the first three subpart". (a) The oscillation frequency of the…

Q: A particle with a mass of 3.568 kg is moving under a simple harmonic motion. It's position æ is…

A:

Q: simple pendulum

A:

Q: %3D The equation of motion of a particle in simple harmonic motion is given by: x(t) =D 0.1cos(wt),…

A:

Q: A 50 cm long spring with spring constant 240 N/m has a mass 1.9 kg attached to it, and it can…

A:

Q: Question 5: A mass of 0.50kg is attached to a spring of constant 30N /m. The mass is pulled 10cm…

A:

Q: For a damped oscillator with a mass of 330 g, a spring constant 100 N/m and a damping coefficient of…

A: Given data:  Mass (m) = 330 g = 0.330 kg Spring constant (k) = 100 N/m Damping constant (b) = 56 g/s…

Q: gy peno

A: Maximum kinetic energy of simple pendulum is KEmax = 1/2 m A2 w2 Angular frequency  w= 2π /T m =…

Q: The distance of a swinging pendulum from its resting posi- tion is given by the function d(t) =…

A: The position function is given as dt=3.5cos5t

Q: A 200g ball is tied to a string. It is pulled to an angle of 8° and released to swing as a pendulum.…

A: The mass of the ball, The angle, The time taken for 10 oscillations,

Q: A conical pendulum is constructed with a string length of 0.475 meters and is set into motion with a…

A: For the conical pendulum, the time period equation can be derived as below: T cos θ = mg T =…

Q: Your pendulum clock is perfectly aligned to swing with a period of 1 s on the surface of our planet.…

A: Given: Time period of the clock, T=1 s. Distance between moon and Earth, d=384000 km. Mass of the…

Q: The period of a simple harmonic oscillator is 6.02 s. At time t = 0 s, the position of the…

A: At t= 0 the oscillator is at maximum point from 0 displacement point So the equation of motion is…

Q: It is important to remember that, in a real pendulum, the value of L used in the period equation is…

A:

Q: The oscillatory movement of a simple pendulum is a characteristic of the regular repetition of…

A: Using the given information of angular  velocity we will find the answer.

Q: Consider a situation in which a pendulum made from a wooden sphere. The mass of the pendulum is 100…

A: Given :      Mass of the pendulum, m =100 g=100×10-3 kg     Length of the pendulum, l=1m Question :…

Q: A solid cylinder of mass M, radius R, and length L, rolls around a light, thin axle at its center.…

A: Length of cylinder = L Mass of Cylinder= M The radius of cylinder = R The springs are connected in…

Q: block of mass (3 kg) lays on a frictionless plane and is attached to a horizontal spring with spring…

A:

Q: In the experiment, you will study an oscillator called a "torsion pendulum." In this case, the…

A:

Q: After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 50cm.…

A:

Q: The period (T) and length (L) values of a simple pendulum found in the table below were obtained…

A: Given: L L (m) T (s) 1 1 2.01 1.05 1.1 2.11 1.09 1.2 2.20 1.14 1.3 2.29 1.18 1.4…

Q: Show that the function x(t) = A cos ω1t oscillates with a frequency ν = ω1/2π. What is the frequency…

A:

Q: A mass-spring system executes simple harmonic oscillation with amplitude 53.5 cm. At a certain…

A: Introduction: Hooke's law: Force exerted by a spring being deformed, F =-kx where F is the restoring…

Q: A simple pendulum has a period of 2.7 s and an amplitude of 5.0 cm. The mass of the bob is 5 g.…

A: Given data: Period (T) = 2.7 s Amplitude (A) = 5 cm Mass of the bob (m) = 5 g Need to determine the…

Q: In a far-away village a boy plays a toy in the form of a pendulum which is initially at rest in the…

A: The force of gravity -mgsin(Θ) and f(t)=(15/2)cos(3t) apply torque on the pendulum, which gives the…