Figure shows a fish bowl of radius 10 cm in which along a diametrical line a fish F is moving at speed 2 mm/sec. Find the speed of fish as observed by an observer from outside along same line when fish is at a distance 5 cm from the centre of bowl to right of it as shown in figure

3.84 mm/s

Particle P shown in figure is moving in a circle of radius R=10 cm with linear speed v=2m//s Find the angular speed of particle about point O.

The speed v of a particle moving along a straight line, when it is at a distance (x) from a fixed point of the line is given by v^2=108-9x^2 (all equation are in CGS units):

The speed (v) of particle moving along a straight line, when it is of a distance (x) from a fixed point on the line, is given by : v^(2) = 144 - 9x^(2)

(a) A line PQ is moving on a fixed circle of radius R. The line has a constant velocity v perpendicular to itself. Find the speed of point of intersection (A) of the line with the circle at the moment the line is at a distance d = R//2 from the centre of the circle. (b) In the figure shown a pin P is confined to move in a fixed circular slot of radius R. The pin is also constrained to remains inside the slot in a straight arm O'A. The arm moves with a constant angular speed w about the hinge O'. What is the acceleration of point P ?

Figure shows a glass hemisphere M of mu = (3)/(2) and radius 10 cm. a point object O is placed at a distance 20 cm behind the flat face which is viewed by an observer from the curved side. Find location of final image after two refractions as seen by observer.

A point source of light S is placed at a distance 10 cm in front of the centre of a mirror of width 20 cm suspended vertically on a wall. An insect walks with a speed 10cm//s in front of the mirror along a line parallel to the mirror at a distance 20 cm from it as shown in figure. find the maximum time during which the insect can see the image of the source S in the mirror.

Two very small particles are executing SHM along very near parallel lines about the same mean position, same amplitude and the same frequency. At t = 0 both the particle are moving with speed of 1m//sec but on the opposite side of the mean position and having same direction of velocity at a distance of 5cm from the mean position. At t = 4sec they are at the same position moving with speed of 1m//sec but in opposite direction. Assuming that this is the minimum time form t = 0 where they are meeting for the 1st time. If the maximum speed of either particle is (xpi)/(4sqrt(2))cm//sec Find x