Two particles A and B are performing SHM along x and y-axis respectively with equal amplitude and frequency of `2 cm` and `1 Hz` respectively. Equilibrium positions of the particles A and B are at the coordinates `[3 cm, 0]` and `(0, 4 cm)` respectively. At `t = 0 ,B` is at its equilibrium position and moving towards the origin, while A is nearest to the origin and moving away from the origin-
Equation of motion of particle B can be written as-

Two particles A and B are performing SHM along x and y-axis respectively with equal amplitude and frequency of 2 cm and 1 Hz respectively. Equilibrium positions of the particles A and B are at the coordinates [3 cm, 0] and (0, 4 cm) respectively. At t = 0 ,B is at its equilibrium position and moving towards the origin, while A is nearest to the origin and moving away from the origin- Minimum and maximum distance between A and B during the motion is-

Two particles A and B are performing SHM along x and y-axis respectively with equal amplitude and frequency of 2 cm and 1 Hz respectively. Equilibrium positions of the particles A and B are at the coordinates [3 cm, 0] and (0, 4 cm) respectively. At t = 0 ,B is at its equilibrium position and moving towards the origin, while A is nearest to the origin and moving away from the origin- Minimum and maximum distance between A and B during the motion is-

Two particles A and B performing SHM along x and y- axis respectively with equal amplitude and frequency of 2 cm and 1 Hz respectively. Equilibrium positions of the particles A and B are at the co-ordinates (3, 0) and (0, 4) respectively. At t = 0, B is at its equilibrium positions and moving towards the origin, while A is nearest to the origin and moving away from the origin. If the maximum and minimum distances between A and B is s_(1) and s_(2) then find s_(1) + s_(2) (in cm ).

(i) A particle of mass m executes SHM in xy- plane along a straight line AB. The points A (a, a) and B (- a, - a) are the two extreme positions of the particle. The particle takes time T to move from one extreme A to the other extreme B. Find the x component of the force acting on the particle as a function of time if at t = 0 the particle is at A. (ii) Two particle A and B are performing SHM along X-axis and Y-axis respectively with equal amplitude and frequency of 2 cm and 1 Hz respectively. Equilibrium positions for the particles A and B are at the coordinate (3, 0) and (0, 4) respectively. At t = 0, B is at its equilibrium position and moving toward the origin, while A is nearest to the origin. Find the maximum and minimum distances between A and B during their course of motion

Two particles A and B move along the straight lines x+2y+3=0 and 2x+y-3=0 respectively. Their positive vector, at the time of meeting will be

Two particles A and B move along the straight lines x+2y+3=0 and 2x+y-3=0 respectively. Their positive vector, at the time of meeting will be

Two particles A and B move along the straight lines x+2y+3=0 and 2x+y-3=0 respectively. Their positive vector, at the time of meeting will be

Two particles A and B oscillates in SHM having same amplitude and frequencies f_(A) and f_(B) respectively. At t=0 the particle A is at positive extreme position while the particle B is at a distance half of the amplitude on the positive side of the mean position and is moving away from the mean position.

Two particles A and B oscillates in SHM having same amplitude and frequencies f_(A) and f_(B) respectively. At t=0 the particle A is at positive extreme position while the particle B is at a distance half of the amplitude on the positive side of the mean position and is moving away from the mean position.

A particle is performing SHM along x- axis with amplitude 4.0cm and time period 1.2s . What is the minimum time is deci - second taken by the particle to move from x=+2cm to x=+4cm and back again.