Refer the figure..

The smaller block has a mass of 5kg and the wedge a mass of 30kg.

The angle made by the wedge with the smooth horizontal floor is 30⁰.

The horizontal length of the wedge is 0.5m

Friction is negligible on all surfaces

 

Neglect the size of smaller block

 

Determine the distance the wedge moves when the smaller block moves to the bottom of the plane....

A man swimming in a stream of velocity ' v ' suddenly finds himself to be at a distance ' d ' from the from a fall of water ahead. If ' c ' be the distance of the nearest shore. Show that to save himself, the man must swim with a velocity no less than

 

   (cv) / ( c² + d²)

The volume of a glass vessel is 1000 cc at 20⁰C. What volume of mercury should be poured into it at this temperature so that the volume of the remaining space does not change with temperature? Co effecients of cubical expansion:

Glass = 9 x 10^-6K^-1

Mercury = 1.8 x 10^-4K^-1

How do you solve cubic equation of the form:

 

ax³ + bx² + cx + d = 0

 

is there any formula like there is for quadratic??

In the given diagram the two strings are moving downward with velocity v and the velocity of the mass M are to be found out.....in terms of v and  only..the two pulleys are fixed..

options

(a) 2vcos

(b) v/cos

(c) 2v/cos

(d) vcos