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a straight rod of length extends from x=0 to x=L.The linear mass density of rod varies with x co-ordinate is lambda=a0+b0x^2.The gravitational force experienced by a point mass m at x=-a, is

where ^ means rest to
Two metallic spheres of mass M are suspended by two strings each of length L.The distance between upper ends of strings is L.The angle which strings will make due to mutual attaction sphere is(if each mass horizontally moved by distance of L/4 mutual attraction)
You are standing still. Light explodes at 600m away and reaches us 3micro seconds, 2 micro seconds later another light explosion from 1200m away reaches you. Which firecracker explodes first and at what micro seconds did they explode?
At the equator, the radius of the Earth is approximately 6370 km. A jet flies at a very low altitude at a constant speed of v = 230 m/s. Upon landing, the jet can produce an average deceleration of a = 20.5 m/s2.
An object of mass 500g is attached to a string of length 50cm which will break if the tension is 20N . The object is whirled in a vertical circle , the axis of rotation being at a height of 100cm above the ground. The angular speed is very slowly increased until the string breaks.In what position is this breakage likely to occur, and of what angular speed? Where will the object hit the ground?
A 25kg block is pushed a distance 5m along a level floor at constant speed by a force at an angle of 30° below the horizontal. The coefficient of friction between the block and floor is 0.4 how much work is done?
a sand falls vertically on a venter conveyor belt at a study rate of 400 grams per second. if the belt moves at 10 meters per second. find the force at the belt.
A sphere of diameter D, moving at speed v in air, experiences a quadratic drag force given approximately by FD = (0.25 Ns2/m4) D2 v2, for diameters of few centimetres or more, and speeds of a metre per second or more. Calculate the terminal velocity of a basketball (25 cm diameter, mass 1 kg), and of a grapefruit 10 cm in diameter (assume a density of 1000 kg/m3 for the grapefruit).
a skater moving 5 m/s begins to decelerate at 1 m/s each second. how fast will he/she be moving after 4s?
Which is more elastic rubber or steel?why?
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