Two masses of mass m each are fixed at a separation distance of `2d`. A small mass `m_(s)` placed midway, when displaced slightly, starts oscillating. Then :

Two charges -q each are fixed separated by distance 2d. A third charge q of mass m placed at the midpoint is displaced slightly by x (x

Two electrons each are fixed at a distance '2d'. A third charge proton placed at the midpoint is displaced slightly by a distance x (x lt lt d) perpendicular to the line joining the two fixed charges. Proton will execute simple harmonic motion having angular frequency : (m = mass of charged particle)

Two point masses, each equal to M, are placed a distance 2a apart. Show that a small mass m placed midway between them on the line joining them will be in equilibrium and if it is slightly displaced from this position along the line perpendicular to the line joining the masses, it will execute simple harmonic oscillations. Calculate the frequnency of these oscillations.

We know that when two equal masses are placed on a line then, gravitational force on a third mass is zero due to these two masses when the third is placed at the centre of line joining the two masses. But if third mass is placed anywhere else on the x-axis, the gravitational force acts on that mass due to these two masses. Consider a system shown in figure. In this system two point masses of mass M each are placed at y-axis at a distance a from origin and these masses are fixed. If a third point mass of mass m is released at a distance x from origin on x-axis, then answer the following questions. Which of the following graphs best represents the variation of force on mass m with distance x ?

We know that when two equal masses are placed on a line then, gravitational force on a third mass is zero due to these two masses when the third is placed at the centre of line joining the two masses. But if third mass is placed anywhere else on the x-axis, the gravitational force acts on that mass due to these two masses. Consider a system shown in figure. In this system two point masses of mass M each are placed at y-axis at a distance a from origin and these masses are fixed. If a third point mass of mass m is released at a distance x from origin on x-axis, then answer the following questions. The distance between positions of maximum force on mass m is

We know that when two equal masses are placed on a line then, gravitational force on a third mass is zero due to these two masses when the third is placed at the centre of line joining the two masses. But if third mass is placed anywhere else on the x-axis, the gravitational force acts on that mass due to these two masses. Consider a system shown in figure. In this system two point masses of mass M each are placed at y-axis at a distance a from origin and these masses are fixed. If a third point mass of mass m is released at a distance x from origin on x-axis, then answer the following questions. The distance between positions of maximum force on mass m is

We know that when two equal masses are placed on a line then, gravitational force on a third mass is zero due to these two masses when the third is placed at the centre of line joining the two masses. But if third mass is placed anywhere else on the x-axis, the gravitational force acts on that mass due to these two masses. Consider a system shown in figure. In this system two point masses of mass M each are placed at y-axis at a distance a from origin and these masses are fixed. If a third point mass of mass m is released at a distance x from origin on x-axis, then answer the following questions. Which of the following graphs best represents the variation of force on mass m with distance x ?