A metallic rod of length 1m is rigidly clamped at its mid point. Longirudinal stationary wave are setup in the rod in such a way that there are two nodes on either side of the midpoint. The amplitude of an antinode is `2 xx 10^(-6) m`. Write the equation of motion of a point 2 cm from the midpoint and those of the constituent waves in the rod, (Young,s modulus of the material of the rod `= 2 xx 10^(11) Nm^(-2)` , density `= 8000 kg-m^(-3)`). Both ends are free.

A metallic rod of length 1m is rigidly clamped at its end points. Longitudinal stationary waves are setup in the ord in such a way that there six antinodes of displacement wave observed along the rod. The amplitude of the anotinode is 2 xx 10^(-6) m . Write the equations of the stationary wave and the component waves at the point 0.1 m from the one end of the rod. [Young modulus = 7.5 xx 10^(10)N//m^(2) , density = 2500 kg//m^(3) ]

If the young's modulus of the material of the rod is 2 xx 10^(11) N//m^(2) and its density is 8000 kg//m^(3) then the time taken by a sound wave to traverse 1m of the rod will be

A metallic rod of length 1m has one end free and other end rigidly clamped. Longitudinal stationary waves are set up in the rod in such a way that there are total six antinodes present along the rod. The amplitude of an antinode is 4 xx 10^(-6) m . young's modulus and density of the rod are 6.4 xx 10^(10) N//m^(2) and 4 xx 10^(3) Kg//m^(3) respectively. Consider the free end to be at origin and at t=0 particles at free end are at positive extreme. The magnitude of strain at midpoint of the rod at t = 1 sec is

A metallic rod of length 1m has one end free and other end rigidly clamped. Longitudinal stationary waves are set up in the rod in such a way that there are total six antinodes present along the rod. The amplitude of an antinode is 4 xx 10^(-6) m . young's modulus and density of the rod are 6.4 xx 10^(10) N//m^(2) and 4 xx 10^(3) Kg//m^(3) respectively. Consider the free end to be at origin and at t=0 particles at free end are at positive extreme. The magnitude of strain at midpoint of the rod at t = 1 sec is

A metallic rod of length 1m has one end free and other end rigidly clamped. Longitudinal stationary waves are set up in the rod in such a way that there are total six antinodes present along the rod. The amplitude of an antinode is 4 xx 10^(-6) m . young's modulus and density of the rod are 6.4 xx 10^(10) N//m^(2) and 4 xx 10^(3) Kg//m^(3) respectively. Consider the free end to be at origin and at t=0 particles at free end are at positive extreme. The magnitude of strain at midpoint of the rod at t = 1 sec is

A metallic rod of length 1m has one end free and other end rigidly clamped. Longitudinal stationary waves are set up in the rod in such a way that there are total six antinodes present along the rod. The amplitude of an antinode is 4 xx 10^(-6) m . young's modulus and density of the rod are 6.4 xx 10^(10) N//m^(2) and 4 xx 10^(3) Kg//m^(3) respectively. Consider the free end to be at origin and at t=0 particles at free end are at positive extreme. The equation describing stress developed in the rod is

A metallic rod of length 1m has one end free and other end rigidly clamped. Longitudinal stationary waves are set up in the rod in such a way that there are total six antinodes present along the rod. The amplitude of an antinode is 4 xx 10^(-6) m . young's modulus and density of the rod are 6.4 xx 10^(10) N//m^(2) and 4 xx 10^(3) Kg//m^(3) respectively. Consider the free end to be at origin and at t=0 particles at free end are at positive extreme. The equation describing stress developed in the rod is