Q6. Inside a fixed sphere of radius R and uniform density d ,there is a spherical cavity of radius R/2 such that the surface of the cavity passes through the centre of the sphere . A particle of mass m is released from rest at centre B of the spherical cavity. Calculate the vel. withwhich the particle strikes the centre A of the Sphere .Neglect earths gravity .initially m was at rest Q1. A mass at C is freely jointed to 2 equal light rods CA and CB .end A is pivoted and B is freely joined to a bead of mass m which slides on a smooth vertical bar with B below A .C rotates in a horizontal circle with uniform w . find the inclination of the rods CA and CB . lenth of either is l. Q2. A 4 kg block is attached to the ends of a 2m vertical rod by 2 strings of length 1.25m each when the system rotates about theaxis of the rod ,both strings are taut. if the tension in the upper string is 60 N ,find the tension in the lower string and rpm it makes. Q3. A particle suspended by a string of length R from a fixed point O is given a vel when at the lowest point . the string becomes slack at athe point A which makes an angle 2A with upward vertical through O . The sring becoes instantaneously taut at B which makes an angle 2B which upward vertical through O. with A and B on opposite sides of the vertical through O. find B in terms Please tell which equation to use Q4. A projectile of mass m is fired from the surface of the earth at an angle A=60 degrees from the vertical . The initial speed v0 =sqrt.GM/R .how high does the projectile rise .neglect air resistence an earth's rotation.of A. Q5. An artificial satellite is moving in circular orbit around the earth with speed equal to half the magnitude of escape vel. from the earthIf the satellite is stopped suddenly in its orbit and allowed to fall freely on the earth ,find the speed with which it hits the surface . In this ques what path it will follow .