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Showing posts from March, 2021

center of mass

  A point which entire mass of body or system of bodies is supposed to be concerned is  known as the center of mass key point The center of masss of  s system of particles is the point that moves as though (1) all of the system's mass w center of Mass of a two particle System  figure shows two particles of masses m1 and m2 seperated by distance d. We have arbitrarily chosen the origin of an x axis to coincide with the particle of mass m1. we define the position of the center of mass (com) of this two particle system to be suppose m2=0. Then there is only one particle, of mass m1 and center of mass must lie at the position of that particle . in this case equation reduces to xcom =0. If m1 =0, there is again only one particle(of mass m2), and we have , xcom =d. if m1 = m2, the center of mass is halfway between the two particles,and eq6.10 reduces to x com =1/2d . Finally eq(6.1)tells us that if that neither m1 nor m2 is zero , x com can have only values that lie betwee...

SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

  CONCEPTUAL OBJECTIVES After completing this chapter,you will understand Rotational and translational motion Center of mass Linear momentum of system of particles Vector product of two vectors Angular velocity and its relation with linear velocity Torque and angular momentum Equilibrium of rigid body Moment of inertia Theorems of parallel and perpendicular axies Kinematics of rotational motion about fixes axis Dynamics of rotational motion about a fixed axis Angular momentum in the case of rotation about a fixed axis Rolling motion SKILL  OBJECTIVES After completing this chapter , you will learn To calculate vector product of two vectors To calculate center of mass for system of two particles To  calculate center of mass for systems  of n particles To calculate torque and angular momentum for system of particles To derive expression for principle of moments To calculate moment of inertia for various regular shaped bodies To calculate work done by torque To apply law...