Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

An engineer is experimenting with a new machine that features two rotating metal arms. The first arm is 2 metres long, and can rotate clockwise

An engineer is experimenting with a new machine that features two rotating metal arms. The first arm is 2 metres long, and can rotate clockwise about a pivot at the origin O, completing one full revolution in 2 seconds. At the end of the first arm, at the point P, is another pivot to which the second arm is attached. The second arm is 1 metre long and can rotate anticlockwise about P, completing one full revolution in 2 seconds. At the end of the second arm is the point Q The engineer sets the machine so that the first arm makes an angle of 2π/3 with the positive x-axis, and the second arm makes an angle of π/2 with the positive x-axis, as shown in the above diagram. At t = 0 she starts the machine, and both arms begin rotating. 

(a) Determine an expression in terms of cosine for xP(t), the x-coordinate (in meters) of the point P at any time t (in seconds). 

(b) Determine an expression for xQ(t), the x-coordinate (in meters) of the point Q at any time t (in seconds), writing answer as the sum of a cosine function and xP(t). 

(c) Simplify your expression for xQ(t) to the form xQ(t) = A sin(πt − θ) where A > 0 and θ ∈ (−π, π]

 

as Mona olles P Mone 2021 (CEMo Callege 2021 Monash Corage ge 2021 h Colle sh Colle 2021 Monas ge 2021 (C ash

Step by Step Solution

3.43 Rating (150 Votes )

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Document Format ( 2 attachments)

PDF file Icon
63655678cbb63_235509.pdf

180 KBs PDF File

Word file Icon
63655678cbb63_235509.docx

120 KBs Word File

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Fundamental Accounting Principles

Authors: John J. Wild, Ken W. Shaw, Barbara Chiappetta

20th Edition

1259157148, 78110874, 9780077616212, 978-1259157141, 77616219, 978-0078110870

More Books

Students also viewed these Mathematics questions

Question

What two purposes are accomplished by recording closing entries?

Answered: 1 week ago