A mass of 3 kg is attached to two ideal springs of force constants 100 N/m and 300 N/m connected in series on a smooth horizontal surface. If the square of the angular frequency is N s⁻², find N.
Physics · Simple Harmonic Motion · time period of linear shm
JEE Mains NEET JEE Advanced

Question

A mass of 3 kg is attached to two ideal springs of force constants 100 N/m and 300 N/m connected in series on a smooth horizontal surface. If the square of the angular frequency is N s⁻², find N.

G1 Physics · Accepted Answer

For springs in series, kₑ = k₁k₂/(k₁+k₂). Thus, kₑ = 100×300/(100+300) = 30000/400 = 75 N/m. Therefore, ω² = kₑ/m = 75/3 = 25 s⁻². Hence, N = 25.