The mass in the figure slides on a frictionless surface.If m = 2 kg,k₁ = 800 N/m and k₂ = 500 N/m,the frequency of oscillation (in Hz)is approximately A)6 B)2 C)4 D)8 E)10

Question

Quizplus · Accepted Answer

The angular frequency of the system can be calculated as: ω = √(k/m) Where k is the effective spring constant and m is the mass of the object. In this case, the effective spring constant can be calculated as: k = k₁ + k₂ k = 800 N/m + 500 N/m k = 1300 N/m Substituting the values, we get: ω = √(1300/2) = √650 = 25.5 rad/s The frequency can be calculated as: f = ω/2π = 25.5/(2π) ≈ 4.06 Hz Rounding it off to the nearest integer, we get the frequency of oscillation to be approximately 4 Hz, which is closest to option C, 4.

The Mass in the Figure Slides on a Frictionless Surface