Home
Class 11
PHYSICS
A composite rod comprising two rods of m...

A composite rod comprising two rods of mass `m` and `2m` and each of length `l = 1 m` as shown in the figure. Assume `omega = 10 rad//s` and `m = 1 kg`, the `KE` of the rotating composite rod is.
.

Text Solution

Verified by Experts

Moment of inertia of composite rod about P

`I_(P)=(ml^(2))/3+((2m)^(2))/12+2m(3/2l)^(2)=5ml^(2)`
total kinetic energy `k_("total")=I_(P)omega^(2)`
`=1/2(5ml^(2))omega^(2)=5/2ml^(2)omega^(2)=250J`
Promotional Banner

Topper's Solved these Questions

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 3.2|13 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 3.3|21 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS ENGLISH|Exercise Solved Examples|12 Videos

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS ENGLISH|Exercise Integer|11 Videos

  • SOUND WAVES AND DOPPLER EFFECT

    CENGAGE PHYSICS ENGLISH|Exercise Integer|16 Videos

Similar Questions

Explore conceptually related problems

Two uniform thin rods each of length L and mass m are joined as shown in the figure. Find the distance of centre of mass the system from point O

The moment of inertia of a system of four rods each of length l and mass m about the axis shown is

A rod of length 1 m is released from rest as shown in the figure below: If omega of rod is sqrtn at the moment it hits the ground, then find n.

A rod AB of mass M and length L is shown in figure. End A of rod is hinged and end B is lying on the ground. Find the Normal reaction by ground on the rod

A rod of mass 2 kg ad length 2 m is rotating about its one end O with an angular velocity omega=4rad//s . Find angular momentum of the rod about the axis rotation.

The y co - ordinate of the centre of mass of the system of three rods of length 2a and two rods of length a as shown in the figure is (Assume all rods to be of uniform density)

A composite rod of mass 2m and length 2l comprises two indentica rods joined end to end at P . The composite rod hinged at one of its ends is kept horizontal as shown in the figure. If it is realeased from rest. a. find its angular speed when it becomes vertical. b. If the lower rod gets detached with the upper rod due to centrifugal effect at their joint P , at the vertical position of the composite rod, find their linear and angular velocities just after their separation.

Two identical rods each of mass m and length are connected as shown. Locate c.m.

A horizontal rod of mass M and length L is tied to two verticle string symmetrically as shown in the figure. One of the strings at end Q is cut at t=0 and the rod starts rotating about the other and P then

The moment of inertia of a thing uniform rod of length L and mass M , about axis CD (as shown in figure) is