AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

A mass $m$ is undergoing $S H M$ in vertical direction about the mean position with amplitude $A$ and angular velocity $ω .$ At a distance $y$ from the mean position, the mass detaches from the spring. Assume that the spring contracts and does not obstruct the motion of $m .$ Find the distance $y_{0}$ ( measured from the mean position) such that the height attained by the block is maximum $(A ω^{2} > g) :$

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

$\frac{g}{2 ω^{2}}$

$\frac{g}{ω^{2}}$

$\frac{2 g}{ω^{2}}$

$\frac{2 \sqrt{2} g}{ω^{2}}$

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Total height attained by block after detaching from spring above the mean position $h = y + v^{2} / 2 g$ Where $v$ is the velocity of block at a distance $y$ above the mean position

$v = ω \sqrt{(A^{2} - y^{2})}, h = y + \frac{ω^{2} (A^{2} - y^{2})}{2 g}$

For $h$ to be maximum, $\frac{d h}{d y} = 0, o r y_{0} = g / ω^{2}$

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!