A projectile of mass m is launched with an İnitial velocity , making an angle 0 with the horizontal as shown below. The projectile moves in the gravitational field of the Earth. Find the angular momentum of the projectile about the origin when the particle is at the following locations. (Use the following as necessary: V, 0, m, and g for the acceleration due to gravity.) v¡ = v,i (a) at the origin (b) at the highest point of its trajectory (c) just before it hits the ground (d) What torque causes its angular momentum to change?

A projectile of mass m is launched with an İnitial velocity , making an angle 0 with the horizontal as shown below. The projectile moves in the gravitational field of the Earth. Find the angular momentum of the projectile about the origin when the particle is at the following locations. (Use the following as necessary: V, 0, m, and g for the acceleration due to gravity.) v¡ = v,i (a) at the origin (b) at the highest point of its trajectory (c) just before it hits the ground (d) What torque causes its angular momentum to change?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter11: Dynamics Of Rigid Bodies

Section: Chapter Questions

Problem 11.31P

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

A projectile of mass m is launched with an İnitial velocity , making an angle 0 with the horizontal as shown below. The projectile moves in the gravitational field of the
Earth. Find the angular momentum of the projectile about the origin when the particle is at the following locations. (Use the following as necessary: V, 0, m, and g for the
acceleration due to gravity.)
v¡ = v,i
(a) at the origin
(b) at the highest point of its trajectory
(c) just before it hits the ground
(d) What torque causes its angular momentum to change?

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