A heavy particle of mass m falls freely near the earth's surface.Whati si the torque acting on this particle about a point 50 cm east to the lie of motiin? Does this a point 50 cm east to the line of motion? Does this toruque produce any angular accelertio in the particle?

A particle falls freely near the surface of the earth. Consider a fixed point O (not vertically below the particle) on the ground.

A particle of mass m is projected with a speed v at an angle theta with the horizontal. Find the angular momentum of the particle about an axis passing through point of projection and perpendicular to the plane of motion of the particle. (a) When the particle is at maximum height and (b) When the particle is just about to collide with the horizontal surface

Show that the angular momentum about any point of a single particle moving with constant velocity remains constant throughout the motion. Is there any external torque on the particle ?

A particle starts moving along a straight line path with velocity 10m//s . After 5s the distance of the particle from the starting point is 50m . Which of the following statements about the nature of motion of the particle are correct?

A particle of mass m is released from rest at point A in Fig., falling parallel to the (vertical) y -axis. Find the angular momentum of the particle at any time t with respect to the same origin O .

A particle moving with uniform acceleration along a straight line ABC rosses point A at t=0 with a velocity 12 m s^(-1) . is 40 m away from A and C is 64 m away from A . The particle passes B at t=4 s . a. After what time will the particle be at C ? b. What is its velocity at C ? c. What does the particle reach A again? d. Locate the point where the particle reverses its direction of motion. e. Find the distance covered by the particle in the first 15 s .

In Fig. 10-73, a particle of mass m is released from rest at point A, at distance b from the origin, and falls parallel to a vertical y axis. As a function of time t and with respect to the origin, find the magnitudes of (a) the torque tau on the particle due to the gravitational force and (b) the angular momentum L of the particle. ( c) From those results, verify that tau=dL//dt .

A large insulating thick sheet of thickness 2 d is charged with a Wliforrn volume charge density p. A particle of mass m, carrying a charge q having a sign opposite to that of the sheet, is released from the surface of the sheet. The sheet does not offer any mechanical resistance to the motion of the particle. Find the oscillation frequency v of the particle inside the sheet

A massive horizontal platform is moving horizontally with a constant acceleration of 10 m//s^(2) as shown in the figure. A particlem P of mass m=1 kg is kept at rest on a smooth surface as shown in the figure. The particle is hinged at O with the help of a massless rod OP of length 0.9 m. Hinge O is fixed on the platform and the rod can freely rotate about O. Now the particle P is imparted a velocity in the opposite direction of the platform's acceleration such that it is just able to complete the circular motion about point O. Then the maximum tension (in N) appearing in the rod during the motion is 10 n. Find the value of n