Question

Figure shows the circular motion of a particle. The radius of
the circle, the period, sense of revolution and the initial
position are indicated on the figure. The simple harmonic
motion of the x-projection of the radius vector of the rotating
particle P is
(a) x(t) = B sin (2πt/30)
(b) x(t) = B cos (πt/15)
(c) x(t) = B sin (πt/15 + π/2)
(d) x(t) = B cos (πt/15 + π/2)

Answer 1

Answer:

Given:

w=angular frequency=T2π,T=Time period=30 sec 

x(t)=Amplitude×sinwt=BsinT2πt=Bsin302πt 

Option A is the correct answer

Answer 2

Answer:

11th

Physics

Motion in a Straight Line

Basics of Motion

Figure shows the circular m...

PHYSICS

Figure shows the circular motion of a particle. The radius of the circle, the period, sense of revolution and the initial position are indicated in the figure. The simple harmonic motion of the x- projection of the radius vector of the rotating particle P is

December 26, 2019

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Rammy Deeksha

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ANSWER

given that

T=1sec,a=2cm

ϕ=45

0

=

4

π

We know

w=

T

2π

=2π

Particle is moving anticlockwise

n=Acos(ωt+ϕ).........(1)

A=2cm

w=2π

ϕ=

4

π

n=2cos(2πt+ϕ)

n=2cos(2πt+

4

π

)