As a civil engineer , you are given contract to construct a curved road in a ghat . In order to obtain the banking angle `theta` , you need to decide the speed limit. How will you decide the values of speed v and radius r ?

A curved road of 50 m radius is banked at correct angle for a given speed.If the speed is to be doubled keeping the same banking angle, the radius of curvature of road should be changed to

Semi - vertical angle of the conical section of a funnel is 37^@ . There is a small ball kept inside the funnel. On rotating the funnel, the maximum speed that the ball can have in order to remain in the funnel is 2 m/s. Calculate inner radius of the brim of the funnel . Is there any limit upon the frequency of rotation ? How much is it ? Is it lower or upper limit ? Given a logical reasoning. (Use g = 10 m/s^2 and sin 37^@ =0.6)

In a conical pendulam, when the bob moves in a horizontal circle of radius r with uniform speed v, the string of length L describes a cone of semivertical angle theta . The tension in the string is given by

The angle of banking theta is independent of mass of vehicle dependent on speed of vehicle dependent on radius of curvature of curved road The correct statement(s) is/are