question_answer

Two light springs of force constants \[{{k}_{1}}\,\text{and}\,{{k}_{2}}\] and a block of mass m are in one line AB on a smooth horizontal table such that one end of each spring is fixed on rigid support and the other end is free as shown in figure. The distance CD between the free ends of springs is 60 cm. If the block moves along AB with a velocity 120 cm/s in between the springs, calculate the period (in second) of oscillation of block, \[({{k}_{1}}=1.8N/m,{{k}_{2}}=3.2N/m,\,\,m=200g)\]

Answer:

2.83