Related InterviewSolutions

• The CG of a loaded truck is at a height of 3 m above the ground and the distance between its wheels is 3m. What is the maximum speed with which it can go round a curved road of radius 200 m without turning turtle ?
• Calculate the ratio of the reaction of a convex bridge at the highest point to the reaction of a concave bridge at its lowest point when a car passes at 30 kmph and the radius of either bridge is 20 m.
• A mass of 0.675 kg on a frictionless table is attached to a string which passes through a hole in the table at the centre. If the radius of the circle in which the mass rotates, is 5 m when its speed is `10 ms^(-1)`, find the tension of the string. It is found that on drawing down the string by 0.2 m, the tension is increased 4.63 times. Calculate the work done by the string on the revolving mass during the reduction of the radius. [Hint : Apply work-energy theorem to find work done by the force]
• A mass `m` on a frictionless table is attached to a hanging mass M by a cord length `l` passing through a hole in the table. Find the speed with which `m` must spin for M to stay at the highest point. If this speedis doubled, what will be the force with which M will press the table ?
• A man stands on a running train (speed 60 kmph) with his feet 60 m apart facing forward. If the train rounds a curve of radius 450 m in a counterclockwise sense, what per cent of his weight rests on his left leg, if his centre of mass is 1.2 m above the floor ?
• Calculate the frequency of revolution of an electron in a hydrogen atom assuming that the radius of the first Bohr orbit is `5 xx 10^(-11)`m. Mass of electron `= 9.0 xx 10^(-31) kg` , charge of electron `= 1.6 xx 10^(-19) C, (1)/(4pi epsilon_(0))=9xx10^(9) SI` units.
• Calculate the apparent weight if a body of 10 kg of place of latitude `60^(@)`. The radius of the earth `= 6.4 xx 10^(6)` m [Hint : Apparent weight `= mg - mv^(2) cos ^(2) lamda/r` where `lamda` is the latitude of the place `= mg - m omega^(2) r cos^(2) lamdaN` `= (m - m omega^(2)r cos^(2) lamda//g)kg`]
• Two particles A and B move anticlockwise with the same speed v in a circle of radius R and are diametrically opposite to each other. At `t=0`, A is given a constant accelerartion (tangential) `a_(t)=(72v^(2))/(25 pi R)`. Calculate the time in which a collides with B, the angle traced by A, its angular velocity and radial acceleration at the time of collision.
• A satellite revolving in a circular equatorial orbit of radius `R = 2xx10^(4)` km from west to east appears over a certain point at the equator every `t = 11.6` hours. Calculate the mass of the earth. The gravitational contant `G= 6.67 xx 10^(-11) SI` units. [Hint : `omega_(app) =omega_("earth") or omega_("real") = 2pi ((1)/(T)+(1)/(t))`]
• A very small cube of mass `m` is placed on the inside of a conial funnelof semivertical angle `(pi//2-theta)`. The funnel is then set in rotation. If the coefficient of static friction between the cube and the funnel is `mu` and the centre of the cube is at a distance`r` from the axis of rotation, what are the largest and smallest angular velocities with which the funnel can be rotated so that the block will not move with respect to the funnel ?