Home
Class 11
PHYSICS
Show that the angular momentum of a part...

Show that the angular momentum of a particle under the action of the force `vec(F) = k vec(r )` is conserved , where K is a constant quantity.

Text Solution

Verified by Experts

Torque. `vec(tau) = vec( r) xx vec(F) = vec(r ) xx k vec(r ) = 0 `
So, `vec(tau) = (d vec(L))/(dt) = `0
i.e., angular momentum `(vec(L))` is conserved.
Promotional Banner

Topper's Solved these Questions

  • ROTATION OF RIGID BODIES

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE with solutions (WBJEE )|6 Videos

  • ROTATION OF RIGID BODIES

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE with solutions (JEE Main )|10 Videos

  • ROTATION OF RIGID BODIES

    CHHAYA PUBLICATION|Exercise ENTRANCE CORNER ( Integer answer type )|2 Videos

  • QUESTION PAPERS OF WBCHSE -2018

    CHHAYA PUBLICATION|Exercise SECTION -II|20 Videos

  • SIMPLE HARMONIC MOTION

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|16 Videos

Similar Questions

Explore conceptually related problems

A particle of mass m is rotated in a circular path of radius r under the influence of a force F=-k/(r^2) , where k is a constant. Find the total energy of the particle.

A particle of mass m is rotated in a circular path of radius r under the influence of a force F = - k/r^2 .. where k is a constant. Find the total energy of the particle.

Define angular momentum (vec(L)) and torque (vec(tau)) Show that (d vec(L))/(dt) = vec(tau) .

A particle of mass m is revolving in a circular path of constant radius r such that its centripetal acceleration a_(c) is verying with time t as a_(c) = k^(2) r t^(2) , where k is a constant. Determine the power delivered to the particle by the forces acting on it.

Show that the line of intersection of the planes vec r.( hat i+2 hat j+3 hat k)=0 and vec r.(3 hat i+2 hat j+ hat k)=0 is equally inclined to ia n dkdot Also find the angle it makes with jdot

Find the scalar and vector components of vec(a) in the direction of vec(b) where vec(a) = 3 hat (i) + vec(j) + 3 hat (k) and vec(b) = hat (i) - hat (j) - hat (k)

Find the scalar and vector components of vec(a) in the direction of vec(b) where vec(a) = hat (i) + hat(j) and vec(b) = hat (j) + hat (k)