Displacement - time equation of two particles moving along x-axis are x1-8-sin- t - x2-4 cos- t here -Rad - s - The particles will collide after a time -A- 1 sB- 2 sC- 3 sD- Collision is not possible

The correct option is D Collision is not possible→ Mean position of SHM 'x_1' is at x = + 8m and A = 1m → Mean position of SHM x_2 is at x = 0 and A = 4m A ...

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Byju's Answer

Standard XII

Mathematics

Average Rate of Change

Displacement ...

Question

Displacement - time equation of two particles moving along x-axis are $x_{1} = 8 + s i n ω t$ & $x_{2} = 4 c o s ω t$ (here $ω = π$ Rad/s). The particles will collide after a time :

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Collision is not possible

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Solution

The correct option is D Collision is not possible
$\to$ Mean position of SHM ' $x_{1}$ ' is at x = + 8m and A = 1m

$\to$ Mean position of SHM $x_{2}$ is at x = 0 and A = 4m

As it is evident from the diagram that the particles can never collide.

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Displacement - time equation of two particles moving along x-axis are x1=8+sin ω t & x2=4cos ω t (here ω=π Rad/s). The particles will collide after a time :

The correct option is D Collision is not possible→ Mean position of SHM 'x1' is at x = + 8m and A = 1m → Mean position of SHM x2 is at x = 0 and A = 4m As it is evident from the diagram that the particles can never collide.

Displacement - time equation of two particles moving along x-axis are $x_{1} = 8 + s i n ω t$ & $x_{2} = 4 c o s ω t$ (here $ω = π$ Rad/s). The particles will collide after a time :

The correct option is D Collision is not possible
$\to$ Mean position of SHM ' $x_{1}$ ' is at x = + 8m and A = 1m

$\to$ Mean position of SHM $x_{2}$ is at x = 0 and A = 4m

As it is evident from the diagram that the particles can never collide.