Question Detail
Question
A block of mass 0.2 kg which slides without friction on a 30° incline is connected to the top of the incline by a mass-less spring of relaxed length of 23.75 cm and spring constant 80 N/m as shown in the following figure. If the block is pulled slightly down the incline and released, what is the period of the ensuing oscillations? [g = 10 m/s²]
Correct Answer
Option C is the correct answer.
Detailed Explanation
The period of a mass-spring system on an incline is T = 2π√(m/k), independent of the incline angle. T = 2π√(0.2/80) = 2π√(0.0025) = 2π × 0.05 = 0.1π = π/10 s.
Hint
The period of a mass-spring system is independent of gravity and incline angle.