A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan-1x, where x is (Assume g = 10 m/sec2)
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec2)
‘u1’ and ‘u2’ are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are ‘v1’ and ‘v2’. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by
ω rad/sec is the angular velocity of a crank whose radius is r. If it makes θ∘ with inner dead centre and obliquity of the connecting rod l is φ, the velocity v of the piston, is given by the equation
A solid sphere of mass M and radius R rolls down a plane inclined at θ with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)