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MECHANICS!!!!

The maximum velocity with which a vehicle can safely negotiate a curve of radius r on a rough inclined road is given by : v² = rg( + tan )/(1-tan) , is the coefficient of friction......
If two masses M1 and M2 are tied to a string which goes over a frictionless pulley and the pulley begins to move downwards with acceleration 'f', then a = (M1-M2)(g-f)/(M1+M2) and T= 2(M1M2)(g-f)/(M1+M2)
A person of mass M climbs up a rope with acceleration 'a'. The tension in the rope will be M(g+a)..
When a man falls freely with load on his head, the apparent weight of the load and the man is zero..
If ki and kf be the initial and final energies of the ball of mass M1, then fractional decrease in energy is given by: (ki-kf)/kf = 1 - v1²/u1²
If m= mass of bullet, n= number of bullets shot/unit time and v= velocity of bullet realtive to gun, then force of gun, F= mnv..
When a spring of spring constant k is cut into two parts of unequal lengths l1 and l2, the spring constants of the two parts are k1= k( l1 + l2)/ l1 and k2= k( l1 + l2)/l2
The location of centre of mass remains unchanged in rotatory motion. But it changes in translatory motion..
A body cannot roll dowm an inclined plane in the absence of friction..
For uniform rotation along a circular path ²R or v²/R gives the centripetal acceleration. Also, for such a motion, the tangential acceleration is zero, if is a constant..

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