The maximum force acting on a particle executing simple harmonic motion is (10 ~N ). The force on the particle when it is midway between mean and extreme positions will be

Step-by-step solution

Maximum force on the particle performing SHM, (F_ =10 ~N ) We know that, In SHM, when body is at maximum displacement (amplitude (a )), then force on the particle is maximum. ( aligned & F_ = mass acceleration =m _ [ _ = ^2 a ] & 10=m ^2 a 10=m a ^2 ( i ) aligned ) Force on the particle when it is mid way ( (y= a 2 ) ) between mean and extreme position, ( aligned & F=m ^2 y=m ^2 ( a 2 ) [ y= a 2 ] & = ma ^2 2 = 10 2 [from Eq. (i)] & =5 ~N aligned )