A large horizontal surface moves up and down in SHM with an amplitude of 1 cm. If a mass of 10 kg which is placed on the surface is to remain continually in contact with it, the maximum frequency of SHM will be……….

A large horizontal surface moves up and down in SHM with an amplitude

1.	A large horizontal surface moves up and down in SHM with an amplitude of 1 cm. If a mass of 10 kg which is placed on the surface is to remain continually in contact with it, the maximum frequency of SHM will be……….
Answer» `0.5 Hz` `1.5 Hz` `5 Hz` `10 Hz` Solution :For body to remain in CONTACT `a_("MAX")= g` `therefore A omega^(2) = g` `therefore 4pi^(2) f^(2) = (g)/(A)` `therefore f^(2)= (g)/(4pi^(2)A)` `therefore f^(2)= (10)/(4(3.14)^(2)XX 0.01)` `therefore f^(2)= 25.36` `therefore f= 5.036 Hz` `therefore f approx 5 Hz`.