A body oscillates with shm according to the equation.
y(t)=25sin(2πt+π/4)
where 'x' is in metre and 't' is in second. Calculate
(i) displacement at time t=0
(ii) magnitude of maximum velocity
Answers
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Answer:
Given:
Equation of SHM is
To find:
- Displacement at t = 0
- Magnitude of max Velocity
Concept:
We can very well understand that the body is already displaced at t = 0 seconds. This is because the SHM has an initial phase of π/4.
Max Velocity can be easily found out either by differentiation of the given Equation or by using formulas.
Calculation:
Putting t = 0 in the equation :
After rationalizing , we get :
Max Velocity is calculated as:
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