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

What do you mean by flares and vents, Q. What do you mean by Flares and Ven... Q. What do you mean by Flares and Vents? A vent is a potential gas fuel source and a potential liquid fuel source due to carry-over from the vent. This is also true for a flare

Plate clutch movement on center clutch-clutch jerking, Plate clutch movemen... Plate clutch movement on center clutch : Place plate clutch on centre clutch as shown in the picture and move the plate clutch up and down, while moving the plate clutch in the ce

Calculate the moment of inertia , Calculate the centroid (use point A as th... Calculate the centroid (use point A as the reference) and the moment of inertia of the shape shown in Figure. The dimensions are given in centimeters.  Calculate the moment

Gyroscope, what is principle of gyroscope what is principle of gyroscope

Parallel foreces, what do you understand by two like and unlike parallel fo... what do you understand by two like and unlike parallel forces?

Example of wedge friction, Example of Wedge friction: T wo blocks A... Example of Wedge friction: T wo blocks A and B are employed to raise load of 2000 N resting on another block C by the application of force P as shown in the figure g

Engine, as diesel engine gives more milege than petrol engine then why we a... as diesel engine gives more milege than petrol engine then why we are using petrol engine..

Define CAD and its applications, Computer-Aided Design (CAD) CAD is use... Computer-Aided Design (CAD) CAD is used in design and development of new products in a diversity of applications both at commercial/industrial and on a home basis. Illustration

What is the use of ball race drive, (a) What is the use of ball race drive?... (a) What is the use of ball race drive? (b) How should one install the bottom cone race? (c) What is the use of front fork oil seal driver body and its attachment? (d) Wha

Torsion of a cylinder, Torsion of a Cylinder Let a cylinder of length  ... Torsion of a Cylinder Let a cylinder of length  l  and radius  R  be clamped at one end and twisted at the other end by applying a torque τ about the axis of the cylinder. Each