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Grade: 12th pass

                        

The position x of a particle moving along x – axis varies with time t as x = Asin ( ωt) where A and ω are positive constants. The acceleration a of particle varies with position x as: a = Ax a = – ω 2 x a = Aωx a = ω 2 xA

6 months ago

Answers : (2)

Saurabh Koranglekar
askIITians Faculty
8407 Points
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6 months ago
Vikas TU
12273 Points
							
The position x of particle moving along x -axis varies with time as ....(1)
x = A sinwt............1
differentiate x with respect to time to find velocity of particle at any instant t.
e.g., 
dx/dt = v = wAcoswt 
we know, acceleration is the rate of change of velocity per unit time.
so, differentiate v with respect to time to find Acceleration of particle at any instant t,
dv/dt = -w^2Asinwt 
from equation (1),
a = -w^2x
6 months ago
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