A man weighing 60 kg stands on the horizontal platform of a spring balance. The platform starts executing simple harmonic motion of amplitude 0.1 m and frequency 2πHz. Which of the following statement is correct?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

The spring balance reads the weight of man as 60 kg

The spring balance reading fluctuates between 60 kg. and 70 kg

The spring balance reading fluctuates between 50 kg and 60 kg

The spring balance reading fluctuates between 50 kg and 70 kg

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

The maximum force acting on the body executing simple harmonic motion ismω2a=m×(2πf)2a=60×2π×2π2×0.1N=60×16×0.1=96N=969.8≈10kgf and this force is towards mean position.The reaction of the force on the platform away from the mean position. It reduces the weight of man on upper extreme i.e. net weight = (60 - 10) kgf.This force adds to the weight at lower extreme position i.e. net weight becomes = (60 + 10) kgf.Therefore, the reading the weight recorded by spring balance fluctuates between 50 kgf and 70 kgf.

Watch 3-min video & get full concept clarity