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A non uniform rod AB has a mass M and length 2L the mas per unit length of the rod is mx at a point of the rod distant x from A.find the moment of inertia of this rod about an axis perpendicular to the rod (!)through A (2)through the mid point of ABAns) consider a strip of the rod ''dx'' at a length ''x'' from A.mass of the small strip is mx*dx.moment of inertia of the small strip about A IS m*x*dx*x*x.on integrating we get moment of inetia about A as 4*m*L*L*L*L.ABOUT MID POINT OF AB.consider a strip of length ''dx'' at a distance of x from mid point P.mass of it is m*(L-x)*dx.moment of inertia of half of the rod about P is m*(L-x)*dx*x*x.on integration we get moment of inertia of half of the rod.similarly do for the other half.adding them we get the answer.
a jet of engine on a test tube takes in 20kg of air per second at a velocity of 100m/s and burns 0.8kg of fuel per second.after compression and heating the exhaut gases are ejected
The electric utility invoice for a household shows a usage of 1245 kWh during a certain 30-day period. What is the average power consumption during this period?
A swimmer swims across a 20-meter-wide river at 0.3 m/s. The river is running at 0.1 m/s. What is resultant velocity of the swimmer, and at what angle with respect to his original
which one of the following engine has thr highest effeciency carnot engine or rankine engine or otto engine?
It makes sense that copper should be used because it could heat up faster, making the event more efficient.
Concurrent angular acceleration means angular acceleration at a particular dot instant at t = t 1 mathematically it is given as,
Each particle produces a gravitational field around it which exerts the gravitational force on each of the other particles present within this region. The portion around a point ma
(1) Standing pulse can be longitudinal / transverse. (2) The disturbance confined to a particular part among the starting point and reflecting point of the ray. (3) There is
how does a magnifying glass work to produce a large or smaller image?
Two identical rods OA and OB each of similar length and mass are connected by a massless pin connection, which permits rotation.The system is placed on a horizontal surface.Two mas
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