Q1. A point moves in a plane so that its angular velocity about two fixed points is the same in the plane. The point describes:
(a) circle (b) straight line (c) ellipse (d) parabola
Q2. St 1: If the law of gravitation becomes inverse cube law, even then a line joining from the sun to the planet sweeps out equal area in equal intervals of time.
St. 2: A planet moves in an elliptical path around the sun.
106Q3. A body moving along horizontal direction with momentum p, strikes the free end of a spring kept on a smooth horizontal surface. The other end of the spring is fixed to a rigid support. The mean momentum of the body after striking till it produces maximum compression in the spring will be?
Yeh mean momentum kya hai?
1Why cant it be b. straight line??
The perpendicular distance between the path of point of locus and the two stationary points is equal and a constant
So the angular velocity of the point will remain equal about both the points.
ω= v/r
So Y is that not supposed to be the answer
1momentum .. initial is p
final is 0 .. then max compression ...
so mean i think is p/2 ...
1
as u could see Ip is initial position of point and Fp is final position of point ... C , D are the two points around which angular velocity is to be fount ...
If it takkes time t to go from Ip to Fp .. let this extend an angle θ at C ... according to property of circle ... at D also θ is subtended .. therefore rhe angular velocity is same about C and D = θ/t ... got it yaar ... [50]
1Q.1 answer is (c)ellipse
q.2 asnwer is b i.e both statements are correct but S-II is not correct explanation of statement I
1for the first one it is a cirlcle and the two points are on the circumference of the circle ...
106@ankit... 2. ka tumne pehle d phir c phir d kahaa mujhe toh a lag rahaa hai.
yes Q1. is circle.. but plz explain
1If the law of gravitation becomes inverse cube law .. it will no longer follows keplers 1st and second law ... which is valid only for n<3 ..
here both assertion and reason is false ...
