A vessel filled with water is kept on weighing pan and the scale is adjusted to zero. A block of mass M and density `rho` is suspended by a massless spring of spring constant K. This block is ubmerged inside into the water in the vessel. What is the reading of the scale?

The masses m_1 and m_2 together are suspended from a massless spring of constant k. When masses are in equilibrium, m_2 is removed without disturbing the system. Find the amplitude of oscillation and angular frequency of m_1

Two vessels have the same base area but different shapes. the first vessel takes twice the volume of water than the second, vessel requires to fill upto a particular common height. Is the force exerted by water on the base of the vessel the same in the two cases? If so, why do the vessel filled with water to that same height give differnt readings on a weighing scale?

Two vessels have the same base area but different shapes. The first vessel takes twice the volume of water that the second vessel requires to fill upto a particular common height. Is the force exerted by the water on the base of the vessel the same in the two cases ? If so, why do the vessels filled with water to thatsame height give different readings on a weighing scale ?

A block of mass m is attached to two unstrecthed of spring constant k_1 and k_2 as shown in the figure The block is displaced towards right through a distance x and is released. Find the speed of the block as it passes through the mean position shown.