μ = 2t-t² . Nature of motion at t=1sec
Answers
Answer:
In physics, motion is the phenomenon in which an object changes its position over time. ... If an object is not changing relatively to a given frame of reference, the object is said to be at rest, motionless, immobile, stationary, or to have a constant or time-invariant position with reference to its surroundings.
Since a SHM can be represented by x=Asin(ωt+ϕ)
⇒x=Asin((
T
2π
)t+ϕ) ; T=6s
so the equation becomes
x=Asin(
3
πt
+ϕ)
We are given that at t=1s,x=0; so we have
0=Asin(
3
π
+ϕ)
⇒(
3
π
+ϕ)=0
⇒ϕ=−
3
π
⇒x=Asin(
3
πt
−
3
π
)
⇒v=
dt
dx
=
dt
d
(Asin(
3
πt
−
3
π
))=
3
πA
cos(
3
πt
−
3
π
)
Now we are given that at t=2s,∣v∣=0.25m/s, so we have
0.25=
∣
∣
∣
∣
∣
3
πA
cos(
3
2π
−
3
π
)
∣
∣
∣
∣
∣
⇒0.25=
∣
∣
∣
∣
∣
3
πA
cos(
3
π
)
∣
∣
∣
∣
∣
⇒0.25=
6
πA
⇒A=
2π
3
hope it helps you ✌️✅✅✅