What is conical pendulum? Show that its time period is given by `2pi sqrtfrac(lcostheta)(g)`, where l is the length of the string, `theta` is the angle that the string makes with the vertical and g is the acceleration due to gravity.

What are the dimensions of the quantity lsqrt(l//g) l - beng the length and the acceleration due to gravity.

A simple pendulum of length 'L' has mass 'M' and it oscillates freely with amplitude energy is (g = acceleration due to gravity)

Discuss the variation of g with depth and derive the necessary formula. OR Show that the gravitational acceleration due to the earth at a depth d from its surface is g_d= g[1- frac(d)(R)] , where R is the radius of the earth and g is the gravitional acceleration at the earth's surface. OR Discus the variation of acceleration due to gravity with depth 'd' below the surface of the earth OR Derive an expression for acceleration due to gravity at depth 'd' below the surface of earth

If the density of the earth is tripled keeping its radius constant, then acceleration due to gravity will be (g=9.8 m/s^2)

If the time period of a simple pendulum is T = 2pi sqrt(l//g) , then the fractional error in acceleration due to gravity is

Determine the length of a seconds pendulum at a place, where the acceleration due to gravity is 9.77 frac(m)(s^2)

If the density of the earth is doubled keeping its radius constant then acceleration due to gravity will be (g=9.8 m//s^(2))

Period of simple pendulam is given as T = 2pi sqrtfrac(1)(g) .Verify this formula using dimensional method.

A bullet is fired from surface of earth with a velocity of u m/s at an angle theta with the x-axis. Simultaneously a similar bullet is fired from a certain plant with velocity u^' m/s at the same angle with the direction of x-axis. The trajectories in the two cases are identical. If g and g^' are accelerations due to gravity on the curth's surface and planet's surface respectively, then

Three masses m, 2m and 3m are attached with light string passing over a fixed frictionless pulley as shown in the figure. The tension in the string between 2m and 3m is (g is acceleration due to gravity)