CBSE Class 12-science Answered
pls explain
Asked by mufeedatvp2000 | 18 Apr, 2020, 02:22: PM
Expert Answer
x = A cos( ω t + δ ) ....................(1)
If phase angle δ = α + (π/2) , then eqn.(1) is written as,
x = A cos [ ω t + α + (π/2)] = - A sin( ω t + α ) ...................(2)
y = A cos( ω t + α ) ......................(3)
By squaring and adding of eqn.(2) and eqn.(3), we get,
x2 + y2 = A2 [ sin2( ω t + α ) + cos2( ω t + α ) ] = A2 .......................(4)
Hence from above eqn.(4), we conclude that the particle subjected to two simple harmonic motion as per eqn.(1) and eqn.(3)
will move in a circular path of radius A .
In order to get the direction of circular motion, let us plot the trajectory by considering
some values for Amplitude A, angular velocity ω , initial phase angles α and δ.
Let A = 10 cm , ω = 5 rad/s , α = (π/6) and δ = (π/6)+(π/2) = (2π/3)
Excel plot of trajectory along with table of x, y displacement values as a function of time is given below
From the tabulated values of x and y displacement and trajectory plot, we see that the particle is moving in counter clockwise direction
Answered by Thiyagarajan K | 18 Apr, 2020, 11:20: PM
Concept Videos
-
Electric Charge - Part 1
This video describes the concept of charge, conductors and insulators, and ... -
Gold Leaf Electroscope - Part 1
This video explains the basic properties of electric charges. -
Coulom's Law of Electric Force - Part 1 ...
This video describes Coulomb's law to calculate the force between any two p... -
All about electric fields
Define electric field in terms of Coulomb's force. Apply superposition prin... -
Electric Field Lines
This video explains the representation of electric field due to a single ch...
CBSE 12-science - Physics
Asked by talulu | 01 May, 2024, 05:14: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by kanishkg511 | 30 Apr, 2024, 07:25: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by sahoobanita89 | 30 Apr, 2024, 05:10: AM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by divakar.9124 | 27 Apr, 2024, 10:42: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by panneer1766 | 24 Apr, 2024, 01:52: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by artabandhusahu85 | 24 Apr, 2024, 12:07: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by niharvijayvargiya5 | 23 Apr, 2024, 06:40: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by kulhariabhijeet | 21 Apr, 2024, 02:39: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by mohapatraswetalina88 | 21 Apr, 2024, 12:18: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by aishaisha091098 | 19 Apr, 2024, 04:54: PM
ANSWERED BY EXPERT
