Compute amplitude and frequency of the particle:

The displacement of a particle is described by x = 5 + 3 cos 3 t. Determine the position of the particle at t = 3 seconds. Compute amplitude and frequency of the particle.

Solution

x = 5 + 3 cos (3t )

at         t = 3                                     x = 5 + 3 cos 9

                                                               = 7.96 cm.

We have

 x = 5 + 3 cos 3t

∴ x - 5 = 3 cos 3t

dx /dt=- 9 sin 3t dt

d ² x/ dt ²  =- 27 cos 3t

                       = - ω² x

∴ ω = 3.29 rad / sec

Amplitude shall be calculated as the displacement when t = 0

∴ x = 5 + 3 cos 0^o  = 8.

∴ Amplitude = 8 cm.

Posted Date: 1/29/2013 2:00:29 AM | Location : United States

Ask an Expert

Related Discussions:- Compute amplitude and frequency of the particle, Assignment Help, Ask Question on Compute amplitude and frequency of the particle, Get Answer, Expert's Help, Compute amplitude and frequency of the particle Discussions

Write discussion on Compute amplitude and frequency of the particle
Your posts are moderated

Write your message here..

Related Questions

Camprofile, knifer edge follower program in java knifer edge follower program in java

Design square footing with plan area and soil reaction, A square column 410... A square column 410 x 410 mm (along with 4 No. 16 mm bars) carries a dead load of 1020 kN and an imposed load of 410 kN. The foundation soil has a safe bearing capacity of 200 kPa.

Compressive stress, Compressive Stress: The stress induced in a body, ... Compressive Stress: The stress induced in a body, when subjected to two equal and opposite pushes as shown in figure (a) as a result of which there is an decrease in length

Driving mechanism-knurl or friction drive-gear drive, Driving mechanism ... Driving mechanism   I). Knurl or Friction Drive :  This has either the upper or lower electrode (or both) driven by a friction wheel on the periphery of the electrode. A co

Motion of the boat, Motion of the boat:  (i) A man having weighs 500 N... Motion of the boat:  (i) A man having weighs 500 N and is in a boat weighing 1500 N which is free to move over a steady lake. If he begins running along the length of the boat

2 degree freedom of system, A mechanical System (two degrees of freedom sys... A mechanical System (two degrees of freedom system) is represented by the following two differential equations: m1x"1+(k1+k2)x1-k2x2=0 m2x"2-k1x1+(k2+k3) x2=0 Given m1=m2=0.5kg, k

Flange bevel and lap ring weld, Q. Flange Bevel And Lap Ring Weld? The ... Q. Flange Bevel And Lap Ring Weld? The fillet weld attaching the lap ring to the shell shall be an equal leg fillet weld, with the leg dimension equal to the nominal shell thic

Assets markets and the lm curve, Assets Markets and the LM Curve The as... Assets Markets and the LM Curve The assets markets are the markets in which money, bonds, stocks, houses and other forms of wealth are traded. There are a large variety of asse

Magnitude of frictional force after perfect rolling begins, What is the mag... What is the magnitude of frictional force after perfect rolling begins and why? solution) After pure rolling begins,frictional force is 0. This is because the velocity of he c

Find the time domain equivalent sinusoid, Given these sinusoids: x1(t) = 0.... Given these sinusoids: x1(t) = 0.5cos(25t+20 o ),   x2(t)=0.85cos(25t+160 o ) and   x3(t)= 0.81cos(25t-145 o ) (a) Subplot the phasors X1, X2 and X3 corresponding to the thee si