$R$ is the radius of the earth and $\omega $ is its angular velocity and ${g_p}$ is the value of $g$ at the poles. The effective value of $g$ at the latitude $\lambda = 60^\circ $ will be equal to
${g_p} - \frac{1}{4}R{\omega ^2}$
${g_p} - \frac{3}{4}R{\omega ^2}$
${g_p} - R{\omega ^2}$
${g_p} + \frac{1}{4}R{\omega ^2}$
A mass falls from a helght $h$ and its time of fall $t$ is recorded in terms of time period $T$ of a simple pendulum. On the surface of earth it is found that $t =2 T$. The entre setup is taken on the surface of another planet whose mass is half of that of earth and radius the same. Same experiment is repeated and corresponding times noted as $t'$ and $T'$.
If the earth suddenly shrinks (without changing mass) to half of its present radius, the acceleration due to gravity will be
A weight is suspended from the ceiling of a lift by a spring balance. When the lift is stationary the spring balance reads $W$. If the lift suddenly falls freely under gravity, the reading on the spring balance will be
Write the equation of gravitation acceleration which is used for any height from the surface of earth.
If it is assumed that the spinning motion of earth increases, then the weight of a body on equator