A particle is executing SHM on a straight line. A and B are two points at which its velocity is zero. It passes through a certain point `P(APltBP)` at successive intervals of 0.5s and 1.5 s with a speed of 3m/s.

(i) The acceleration (a) of a particle moving along a straight line is related to time (t) as per the differential equation (d^(2)a)/(dt^(2))=-ba. b is a positive constant. Is the particle performing SHM? If yes, what is the time period? (ii) A particle is executing SHM on a straight line. A and B are two points at which its velocity is zero. It passes through a certain point P (AP gt PB) with a speed of 3 m//s at times recorded as t = 0, 0.5 s, 2.0 s, 2.5 s, 4.0 s, 4.5 s......Determine the maximum speed of the particle and also the ratio AP//PB .

A partical starts SHM frommean position O executing SHM A and B are the two point at which its velocity is zero . It passes through a cartain point O at time t_(1) = 0.5 and t_(2) = 1.5 s with a speed of 3 m//s . i. The maximum speed ....... ii. ratio AP//PB .....

A and B are two points on the path of a particle executing SHM in a straight line, at which its velocity is zero. Starting from a certain point X (AXltBX) the particle crosses this pint again at successive intervals of 2 seconds and 4 seconds with a speed of 5m//s Q. The ratio (AX)/(BX) is

A and B are two points on the path of a particle executing SHM in a straight line, at which its velocity is zero. Starting from a certain point X (AXltBX) the particle crosses this pint again at successive intervals of 2 seconds and 4 seconds with a speed of 5m//s Q. Amplitude of oscillation is

X_(1) and X_(2) are two points on the path of a particle executing SHM in a straight line, at which its velocity is zero. Starting from a certain point X(X_(1)XltX_(2)X) then particle crosses this point again at successive intervals of 2s and 4s with a speed of 5m//s . The time period of SHM is

A particle is executing SHM in straight line starting its motion at t_(1)=0 with zero initial phase.It crosses a point during the motion at successive intervals at t_(2)=t and t_(3)=2t with a speed v. If its acceleration amplitude is (2 pi V)/(Nt) then N is equal to

A particle is moving on a straight line with constant retardation of 1 m//s^(2) . Its initial velocity is 10 m//s .

If a particle is executing S.H.M. then the graph between its acceleration and velocity is , in general