Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

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

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

a

The spring balance reads the weight of man as 60 kg

b

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

c

The spring balance reading fluctuates between 50 kg and 60 kg

d

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

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

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

courses

No courses found

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon
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?