Ex. 11: The differential equation for linear d'xo =- 4x. If the amplitude dtnA S.H.M. is given by inA T is 0.5 m and initial phase is radian, obtain the 6. [8040.01 itnA displacement equation of S.H.M. and find the velocity at x = 0.3 m for the particle in S.H.M %3D

Q: What is the angle (radians) swept in an hour by an object performing a SHM with frequency 50HZ?

A:

Q: A mass of 10 kilograms is attached to the end of a spring. A force of 4 Newtons stretches the spring…

A:

Q: A motor accelerates the wheel attached to a pulley that rotates at 64rpm for one minute. then it…

A:

Q: essed in terms of departures from the equilibriun

A: Given as,

Q: Q2/ A body on a spring oscillates with a period of 2 sec and amplitude of 15 cm .At time equal to…

A: The position of a particle executing a simple harmonic motion on a spring is given by-…

Q: A particle performing linear S.H.M. has a period of 27 second and an amplitude of 10 cm. What is its…

A: To find-Velocity of particle (V)=?Given-Periodic time (T)=2π secAmplitude (a)=10 cmDisplacement(x)=6…

Q: Q. 54 : The displacement of a particle varies according to the relation x = 4 (cos ot + sin nt). The…

A: To find-Amplitude of motion (A)=?Given-Equation of S.H.M is-X=4(cos ωt+sin πt)

Q: A particle execules sumn of amplitude 9cm &ince an acceleration of 11² cm/3². When its displacement…

A: We have given Amplitude  a=9 cm  Acceleration    A= π2/3 cm  Displacement   y = 16/3 cm  (1) We know…

Q: A rotating fan completes 3000 revolutions every 9.5 minutes , the period of the motion is : a. 0.317…

A:

Q: You Rev your car's engine to 3300 rpm. What are the period and frequency of the engine? If you…

A:

Q: Hi can you give tge observation and conclusion to this table? It is all about the pendulem. Our…

A: For the simple pendulum, the time period of oscillation is given by, T=2πLg here, L is the effective…

Q: Write the following function as a linear differential equation system of rank 1 and find the…

A: Given: The linear differential equation is given as,

Q: A particle performing S.H.M. has an acceleration of 100 cm/s?, when it is at a distance of 25 cm…

A: To find-Period of S.H.M (T)=?Given-Acceleration=100 cm/s2Displacement (x)=25 cm

Q: Derive the equation for the couple per unit twist produced in a cylindrical wire or shaft with the…

A: Consider a cylindrical rod with a length of l, a radius of r, and a coefficient of stiffness of n.…

Q: You have just completed the overhaul on your dune buggy. To test the engine, you rev it up to 2.75 x…

A:

Q: Suppose David places a stone on a 1.5 m long wave and begins to rotate the stone in a nearly…

A: Given Data Length of the wave is l=1.5 m Initial angular speed of the stone is ω0=0 Final angular…

Q: (1) sh (3) 2h 3h. (2) For the self-experiment with the ruler, rubber eraser, and the 10…

A:

Q: the fan blades on a jet engine make one thousand revolutions in a time of 14.2ms what is the angular…

A: Solution: Given: n = number of revolutions made by fan of jet engine = 1000 rev Δt = duration of…

Q: A particle execules sum of amplitude 9cm &ince an acceleration of IT² cm/3². When its displacement…

A: We need to compute-(i) Period=?(ii) Maximum velocity=?(iii) Maximum acceleration=?We have the…

Q: The argument of the cosine is the period. O True O False

A: The argument of cosine function is a dimensionless quantity. But period generally have dimension of…

Q: 1. The motion of a particle starting from rest is governed by the a-t curve showny Sketch the v-t…

A:

Q: 1. A frictionless spring-mass system slides back and forth with simple harmonic motion on a…

A: Answers: a) zero  b) When the speed is minimum the spring is either extended by 4.5 cm or compressed…

Q: 1. 3. B. Find the period, amplitude following: 1. y = -2cos(x) - 1 2. f(x) = sin(2x + 3) + 3 3. g(x)…

A: Amplitude of a curve is the maximum value of y-axis in the curve, time period is the value in x-axis…

Q: revolves diameter ground A Ferris wheel is 28 meters in diameter and boarded from a platform that is…

A: Solution: As per the given data, Diagrammatically it can be re-drawn as follows:

Q: 24. The bob on a simple pendulum is pulled to the left 4 in. from its equilibrium position. After…

A:

Q: Ex. 44: The equation of linear S.H.M. is (1) 6 x = 10 sin 4t+ cm. Write down the values of…

A: We need to compute-(i) Amplitude (a)=?(ii) Period (T)=?(iii) Phase constant (α)=?(iv) Phase…

Q: Let y = 5 sin x + 6 nift, and range.

A: Given values:- y=5sinx+6cosx -----(1) To calculate:-Amplitude, period, phase shift & range. Let…

Q: For y = – 10 cos(x) + 5, the midline is y = %3D the amplitude is

A: Solution :- Y=-10cos(x) +5 Now compare it with Y = Acos(bx-c) +d A=-10 Amplitude |A|= 10

Q: Ex. 50 : The distance traveled by a particle performing S.H.M. from its mean position in 2 3 second…

A: To find- Period of S.H.M. (T)=? Given- Time(t)=2 sec Displacement (x)=32a where a=amplitude

Q: particle performing linear S.H.M. has a period of 6.28 seconds and a pathlength of 20 What the…

A: Given data-length of path=20 cmTherefore,a=10 cm, x=6cmT=6.28ω=2πT=2×3.146.28=1 rad/sTo…

Q: Ex. 78 : A particle is performing linear S.H.M. of amplitude a. What function of the total energy s…

A: The total energy of the harmonic oscillator of spring constant k is given by TE=12kA2 where A is the…

Q: Qetion . The15 cyinder i released at the postion shown and fale onto the linear spring -100 N/m.…

A: Answer...

Q: How does the period of the pendulum change with the mass of the pendulum bob? Explain you…

A: Given data :  Lenght of the pendulum = 0.40 m  Amplutude, A = thetamax = 10° Mass = variable mass…

Q: Apps Bookmarks pls.skillport.com U Registration/Login... Ú UltiPro U UltiPro Registration/Login.…

A:

Q: 3. A nozzle is designed so that the velocity distribution changes linearly from the base to tip. L…

A:

Q: A car tire is 62.0 cm in diameter. The car is traveling at a speed of 16.0 m/s. What is the tire's…

A:

Q: 1. The absolute acceleration vector of mass m is given a = (Lösin@ + 2Ló cos 0)sz + (Lỡ – Lở cos0…

A: Given: as= Lϕ ..sinθ + 2Lϕ.θ. cos θs^2+Lϕ .. -Lϕ.2 cos θ sin θs^3 -Lϕ.2+Lϕ.sin θ2s^1

Q: Can you check the value of the length of the bridge (AB) using sine, cosine and tangent.

A: