Turn e an e to tical does er is pund und - to of Do centripetal and force action reaction pair? Explain. 1.7 BANKING OF ROADS
When a car is moving along a curved road: it's
perfoming a circular motion, since curved road may be a rc of a circle force is a necessary force for circular motion. In absence of force , the car would move along tangent and circular motion isn't possible just in case of a car moving along a curved horizontal road, the required force is provided by force of friction between tyres of car and therefore the paved surface (Fig. 1.10 (a).
Let m be the mass of car moving with a speed v along a curved road of s of radius r. Then for a secure turn, mable ting g at it. force = Force of Friction = urg ..(1.44) Where is that the coefficient of friction between tyres of car and paved surface the ugal force eby Equation (1.44) gives maximum safety speed with which car are often safely driven along a curved horizontal road.
If the speed exceeds this limiting value. the car are going to be thrown off. just in case of a car moving at higher speed the force of friction should be for increased by making paved surface rough. However, this causes wear and tear of tyres. Besides, force of friction isn't always reliable, since its value decreases, when paved surface becomes wet thanks to rain les In vith ntal by d at his ater
or become oily or wear and tear of tyres.
Banking of roads is that the best remedy for vehicle travelling at high speed along curved road.
The process of raising fringes of road over its inner edge through certain angle is known as banking of road.
The angle made by the surface of road with level of road is known as angle of banking.
as For The principle of conical pendulum is employed within the 1 construction of centrifugal governor, which is employed for regulating automatically the speed of engines Is there any limitation on semivertical angle conical pendulum.
IS VERTICAL CIRCULAR MOTION thanks to 56 ) e is EARTH'S GRAVITATION :
Consider an object of mass m tied at the top of an inextensible string and whirled during a great circle of radius r. Then thanks to the influence of earth's field , its velocity and also tension vary in ace is magnitude from maximum value v, at lowest point to a minimum value v, at highest point.
Thus motion of body in line is nonuniform circular motion. eg.
In a roller coaster, car slows down and accelerates because it moves around vertical loop. EQUATION FOR VELOCITY AND ENERGY AT DIFFERENT POSITIONS IN VERTICAL CIRCULAR MOTION SUMMA
(D Circular motion is motion of particle along circumference of circle)
(2) Uniform circular motion (UCM) is motion of particle along circumference of circle with constant linear speed (or constant angular speed)
Infinitesimal angular displacement. angular velocity and angular acceleration are vector quantities and their direction is given by right rule also as right handed screw rule. Linear speed of particle. radius and angular speed are related as, v = ro. 2n (푸) = Also v = 2nnr r - In vector notation: V = x 7 (5) Acceleration of particle performing U.C.M. called as radial,
since it's along radius and centripetal since it's directed towards the centre of circle and is given by. a = vw = = ro (In magnitude) a = In vector notation may be a spherical bob of diameter 3 cm having a mass 100g is attached at the top of string of length 48.5 cm Find angular velocity and tension within the string, if bob is rotated now at 600 rpm during a IS horizontal circle
(Neglect the load of string and bob) If an equivalent bob is now whirled during a great circle of same radius, what is going to be the difference in tension at lowest and highest point Data: D = 3 cm. R = =15 cm = 15 x 10 m. 1 = 48.5 cm 48 5 x 10 m = R+1= 48.5 x 10+15 x 10 = T = T = (For Non UCM) = 50 x 10 m m = 100 g = 0.1 kg = 600 1.p.m. = 10 Hz. T=" w= (For UCM) Solution Angular velocity o = 2 ton 0 = 2 x 3 142 x 10 0 = 62.84 rad/s Tension within the string T= mru TO T. Diff .
0 Comments