1800-150-456-789
FlagBACK
Flag Mechanics> A system contains 2 identical small bobs ...
question mark

A system contains 2 identical small bobs of mass 2kg each connected to the ends of 1m long light rod. The system is rotating about a fixed axis through centre of the rod and perpendicular to it at an angular speed of 9 rad/s. An impulsive force of average magnitude 10 N acts on one of the masses in the direction of its velocity for 0.2s. calculate new angular velocity of system

Amruta , 6 Years ago
Grade 12
anser 1 Answers
Sanju

Last Activity: 6 Years ago

The impulse is provided by the force F = 10N in the direction of velocity which is perpendicular to the rod as the mass is moving in circular motion.
Therefore, the torque, T = rF = 0.5m * 10N = 5 Nm
Moment of inertia of the system abt the line passing thru its center & perpendicular to it is given by:
I = 2 * 2kg * (0.5m)2 = 1 kg m2 
We have, T = I * α
where α is the angular acceleration
Therefore, α = T / I = 5/1 = 5 rad/s2
 
So, the new angular velocity, w = w0 +αt   
w = w0 +αt = 9 + (5*0.2) = 10 rad/s

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on Mechanics

question mark
A metal strip clamped at one end vibrates with a frequency of 20 Hz and amplitude of 5 mmat the free end, where a small mass of 2 g is positioned. determine(i) The velocity of the end when passing through the zero position(ii) The acceleration at maximum displacement(iii) The maximum kinetic energy of the mass
Mechanics
2 Answer Available

Last Activity: 2 Year ago(s)

question mark
An object of mass m = 0.25 kg oscillates in a fluid at the end of a vertical spring of springconstant kH = 85 N/m, see Fig.1. The effect of the fluid resistance is governed by thedamping constant b = 0.07kg/s.(i) Find the period of the damped oscillation.(ii) By what percentage does the amplitude of the oscillation decrease in each cycle?
Mechanics
1 Answer Available

Last Activity: 2 Year ago(s)

question mark
If a=x² find the displacement at t =3sec if body velocity at t= 0 sec is 0
Mechanics
1 Answer Available

Last Activity: 2 Year ago(s)

question mark
A particle is traveling in a circle of radius R =2.5m and with an angular velocity of 10 rad/s. What is the centripetal acceleration of the particle? The particle begins to slow down with an angular acceleration of -1 rad/s2. After 5 seconds, what is the centripetal acceleration and the tangential acceleration fo the particle?
Mechanics
1 Answer Available

Last Activity: 2 Year ago(s)

question mark
If the acceleration of block A is 5 m/s^2Find the acceleration of block B
Mechanics
1 Answer Available

Last Activity: 2 Year ago(s)