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

Q.

A rod of mass M and length L is placed in a horizontal plane with one end hinged about the vertical axis. A vertical force F=Mg2 is applied at a distance 5L6 from the hinged end. The angular acceleration of the rod will be

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

3g4L

b

4g5L

c

5g4L

d

4g3L

answer is B.

(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

detailed_solution_thumbnail
Question Image

We know that τ=Iα (i) 

I=ML23 (moment of inertia of rod wrt axis passing from one end and perpendicular to its length)

Now τ=(force) (perpendicular distance)

τ=Mg25L6

from eq. (i)

Mg25L6=ML23(α)

solving this

α=5g4L

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

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

Take Free Test

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon
A rod of mass M and length L is placed in a horizontal plane with one end hinged about the vertical axis. A vertical force F=Mg2 is applied at a distance 5L6 from the hinged end. The angular acceleration of the rod will be