(a) An ethernet cable is 4 m long and has a mass of 0.25 kg. A transverse wave pulse is produced by plucking one end of the taut cable. The pulse makes 5 trips down and back along the cable in 0.5 s. What is the tension in the cable? (b) A simple pendulum consists of a ball of mass 3 kg hanging from a uniform string of mass 0.06 kg and length L. If the period of oscillation of the pendulum is 3 s, determine the speed of a transverse wave in the string when the pendulum hangs vertically. 2) Light waves are electromagnetic waves that travel at 3.00 108 m/s. The eye is most sensitive to light having a wavelength of 5.84 10-7 m. (a) Find the frequency of this light wave. (b)Find its period.

Q: A horizontal spring-mass system is compressed 0.2 m away from the equilibrium point. The mass is 15…

A:

Q: A spring hangs from the ceiling with an unstretched length of xo = 0.97 m. A m = 7.5 kg block is…

A: The restoring force of the spring is given by, Here, k denotes the spring constant and x denotes…

Q: When a mass of m = 314 g is attached to a spring and the mass-spring system is set into…

A: mass = 314 g  = 0.314 kg T = 0.587 s

Q: When a mass of m = 184 g is attached to a spring and the mass-spring system is set into…

A: a) frequency f=1/T=10.447=2.237136465 Hz

Q: A simple pendulum constitutes of a mass M attached to a string length L. If you 2x the mass and…

A:

Q: A 1.40 kg block hangs from a spring. A 400 g body hung below the block stretches the spring 2.80 cm…

A: Given: The mass of the block is 1.4 kg. The stretching in the spring due to 400 g body is 2.8 cm.

Q: A 0.2 kg mass is connected to a vertically hanging spring which oscillates up and down with the…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: Consider a vertical mass-spring system. The spring constant is k = 48 and the mass is m=1.0 kg. (a)…

A: Given  Mass = m = 1.0 kg  Spring constant ,k = 48 N/m  Initial displacement ,y = 0.10 down

Q: A copper rod (length = 1.83 m, radius= 3.87 x 103 m, Young's modulus 1.1 x 1011 N/m²) hangs down…

A:

Q: When a 0.550 kg mass oscillates on an ideal spring, the frequency is 1.75 Hz. What will the…

A: Given for spin-mass system mass of the block, m = 0.550 kg frequency, f = 1.75 Hz

Q: Find the ratio of the new/old periods of a pendulum if the pendulum were transported from Earth to…

A:

Q: the figure below. k

A:

Q: block with mass 0.382 kg is attached to a horizontal spring with spring constant k = 1.28 N/m on a…

A:

Q: The air pressure variations in a sound wave cause the eardrum to vibrate. Find the maximum…

A: Given data *The given amplitude is A = 5.03 × 10-8 m  *The given frequency is f = 20.0 Hz

Q: A simple pendulum has a mass of 4.2 kg suspended on a massless string oscillating with a frequency…

A: The mass of a simple pendulum,

Q: The eardrum of the human ear is a membrane that can undergo motion similar to a trampoline sheet. An…

A:

Q: A mass m = 1.5 kg hangs at the end of a vertical spring whose top end is fixed to the ceiling. The…

A:

Q: An object of mass m can be hung from a rope (with linear mass density  = 0.002 kg/m) that passes…

A: A rope has mass density 0.002 kg/m , two mass m=25.0kg and 16.0 kg hung and its length is 2 m

Q: The mass of a ball m = 8.9 kg is suspended from a k = 204 N/m string. Calculate how many   seconds…

A: The period of a simple harmonic oscillator is given by, T=2πmk Here, m is the mass of the ball and k…

Q: A spring of negligible mass stretches 3.46 cm from its relaxed length when a force of 5.40 N is…

A: The applied force F = 5.4 N. The particle’s mass is m = 0.8 kg. The amplitude A = 5 cm = 0.05 m. The…

Q: A copper wire one meter long weighing 0.02 grams per cm vibrates in three segments when under a…

A: GIVEN l=1 m T=280g=280*10^-3 kg μ=linear density =ml=0.02gmcm=0.02*10-3 kg10-2mfrequency of 3…

Q: A block with mass M=6.0 kg  rests on a frictionless table and is attached by a horizontal spring(k =…

A: Let the mass of the block at the top is denoted by m, the mass of the block at the bottom is denoted…

Q: When a mass of m = 224 g is attached to a spring and the mass-spring system is set into oscillatory…

A: (a)Frequency of motion is given by  f=1T=10.467=2.14 Hz (b) We know that the time period is given by…

Q: A spring hangs from the ceiling with an unstretched length of xo = 0.61 m. A m = 7.1 kg block is…

A:

Q: The x component of the velocity of an object vibrating along the x-axis obeys the equation vx(t) =…

A: The x component of the velocity of an object vibrating along the x-axis obeys the equationvx(t) =…

Q: A simple pendulum is 5.00 m long. (a) What is the period of simple harmonic motion for this pendulum…

A: Part A:

Q: A mass of 2.8 kg is attached to a spring with the spring constant 30.0 N·m-1 and is placed on a…

A: Mass=2.8kg Spring constant=30N.m-1 Compression =0.03m

Q: A block of mass m = 5 Kg is attached to a spring of spring constant k. The block %3D oscillates in…

A: Given data: Mass of block is, m=5 kg. Total mechanical energy of block-spring is, TE=22.5 J

Q: A simple pendulum is 8.00 m long. (a) What is the period of small oscillations for this pendulum if…

A:

Q: An object oscillates such that its position x as a function of time t obeys the equation x (1) =…

A: It is general equation of S.H.M.x(t)=asin(wt).

Q: A mass of 8.5 kg is attached to a spring with the spring constant 30.0 N-m¹ and is placed on a…

A: spring constant (k) = 30 Nm mass (m) = 8.5 kg compression (d) = 0.03 m

Q: Engineers can determine properties of a structure that is modeled as a damped spring oscillator,…

A:

Q: spring stiffn

A:

Q: A pendulum has a length of 0.8 meters, a 3 kg mass attached to the end of it, and when it is…

A: Given: Length, L=0.8 m Mass, m=3 kg Frequency, f=0.4 Hz a) We know, Frequency, f=12πgL Plugging…

Q: Consider a place where the gravity is one-fourth the gravity on Earth (g' = %3D g/4), then the…

A:

Q: A spring with constant k=15N/m is attached to a mass of 3.0k and stretched to a position x=0.5m. The…

A: Given ,             Spring constant (k) = 15N/m             Mass attached to spring (m) = 3 kg…

Q: A block of mass  m = 6.04 kg  is attached to a spring with spring constant  k = 1532 N/m  and…

A: Given, A block of mass  m = 6.04 kg  is attached to a spring with spring constant  k = 1532 N/m.…

Q: A mass is placed on a frictionless, horizontal table. A spring (k = 175 N/m), which can be stretched…

A:

Q: Part 2) An organ pipe of length L = 4.6 m is open at both ends. It is driven to oscillate with a…

A:

Q: A mass of 7.2 kg is attached to a spring with the spring constant 30.0 N-m and is placed on a…

A: Given Data: Spring constant k=30 N/m Mass m=7.2 kg Displacement, A=0.03 m Maximum velocity is given…

Q: spring (k A mass is placed on a frictionless, horizontal table. A 120 N/m), which can be stretched…

A:

Q: The system oscillates with a period given by T = 27, m Here T is the period of oscillation, m is the…

A: Given: The percentage uncertainty in mass is 1.5%.            The percentage uncertainty in spring…

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.