If the block-and-spring model is subjected to the periodic force 𝐹 = 𝐹0𝑠𝑖𝑛 x
Posted: Mon May 09, 2022 9:19 am
If the block-and-spring model is subjected to the periodic force
𝐹 = 𝐹0𝑠𝑖𝑛 𝜔𝑡,
a) show that the differential equation of motion is 𝑥̈+ ( 𝑘 𝑚 )
𝑥 = 𝐹0 𝑚 sin (ω0t) , where x is measured from the equilibrium
position of the block. (4 marks)
b) What is the general solution of this equation? (6 marks
𝐹 = 𝐹0𝑠𝑖𝑛 𝜔𝑡,
a) show that the differential equation of motion is 𝑥̈+ ( 𝑘 𝑚 )
𝑥 = 𝐹0 𝑚 sin (ω0t) , where x is measured from the equilibrium
position of the block. (4 marks)
b) What is the general solution of this equation? (6 marks