A point moves on x -axis according to x-4 sin - t- find the time when its speed becomes zero

The correct option is A 1/2 sIt is a case of sinusoidal nbsp;motion w=π=2 π/T T=2 Particle starts from mean, it will stop at extreme at t=T/4=0.5 s ...

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Standard XII

Physics

V-t to a-t Graph

A point moves...

Question

A point moves on x-axis according to $x = 4 sin (π t)$ , find the time when its speed becomes zero

\frac{1}{5} s

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\frac{1}{2} s

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\frac{1}{3} s

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\frac{4}{3} s

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Solution

The correct option is B $\frac{1}{2} s$
It is a case of sinusoidal motion

$w = π = \frac{2 π}{T}$

$T = 2$

Particle starts from mean, it will stop at extreme at $t = \frac{T}{4} = 0.5 s$

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A point moves on x-axis according to x=4sin(πt), find the time when its speed becomes zero

The correct option is B 12 sIt is a case of sinusoidal motion w=π=2πT T=2 Particle starts from mean, it will stop at extreme at t=T4=0.5 s

A point moves on x-axis according to $x = 4 sin (π t)$ , find the time when its speed becomes zero

The correct option is B $\frac{1}{2} s$
It is a case of sinusoidal motion

$w = π = \frac{2 π}{T}$

$T = 2$

Particle starts from mean, it will stop at extreme at $t = \frac{T}{4} = 0.5 s$