When two identical spheres collide obliquely with one of them initialyly at rest,then fly off making an angle `theta`.What is the value of angle `theta` if the collision is elastic?

The tangent to the curve y =x^3 +1 at (1,2) makes an angle theta with y-axis, then the value of tan theta is

The angle between force and dispalcement is theta . For what value of theta is work done zero

Consider the collision depicted in Figure, to be between two billiard balls with equal masses m_(1)=m_(2) . The first ball is called the cue and the second ball is called the target. The billiard player wants to sink the target ball in a corner pocket, which is at an angle theta_(2)=phi=37^(@). Assume that the collision is elastic and that friction and rotational motion are not important. Obtain theta_(1) .

A ball of mass m, moving with a speed 2v_0 collides inelastically (e>0) with an identical ball at rest. Show that For a general collision, the angle between the two velocities of scattered balls is less than 90^@ .

A train travelling on one of two intersecting railway lines, subtends at a certain station on the other line, an/ angle alpha when the front of the carriage reaches the junction and an angle beta when the end of the carriage reaches it. Then, the two lines are inclined to each other at an angle theta , show that 2 cot theta=cot alpha-cot beta

A ball of 0.1 kg makes an elastic head on collision with a ball of unknown mass that is intitially at rest.If the 0.1 kg ball rebound at one third of its original speed ,what is the mass of the other ball?

Consider a long steel bar under a tensile stress due to forces vecF acting at the edge a along the length of the bar (show in the figure) Consider a plane making an angle theta with the length. What are the tensile and shearing stresses on this plane? For what angle is the shearing stress a maximum?

Consider a long steel bar under a tensile stress due to forces vecF acting at the edge a along the length of the bar (show in the figure) Consider a plane making an angle theta with the length. What are the tensile and shearing stresses on this plane? For what angle is the tensile stress a maximum?

What is resultant of two vectors inclined at an angle theta . Discuss when theta=0,pi and pi/2 radian.

If the equation of the pair of straight lines passing through the point (1,1) , one making an angle theta with the positive direction of the x-axis and the other making the same angle with the positive direction of the y-axis, is x^2-(a+2)x y+y^2+a(x+y-1)=0,a!=2, then the value of sin2theta is