2/16/2023 ENGG 408 DYNAMICS OF RIGID BODIES MAIN TOPIC NO. 2 KINEMATICS 2.1.1 UNIFORM MOTION AND UNIFORMLY ACCELERATED MOTION Uniform Rectilinear Motion For a particle in uniform rectilinear motion, the acceleration is zero and the velocity is constant 1 ENGG 408 DYNAMICS OF RIGID BODIES MAIN TOPIC NO. 2 KINEMATICS 2.1.1 UNIFORM MOTION AND UNIFORMLY ACCELERATED MOTION Uniformly Accelerated Rectilinear Motion For a particle in uniformly accelerated rectilinear motion, the acceleration of the particle is constant 2 MAIN TOPIC NO. 2 KINEMATICS ENGG 408 DYNAMICS OF RIGID BODIES 2.1.2 MOTION OF SEVERAL PARTICLES Motion of Several Particles: Relative Motion For particles moving along the same line, time should be recorded from the same starting instant and displacements should be measured from the same origin in the same direction 3 1 2/16/2023 MAIN TOPIC NO. 2 KINEMATICS ENGG 408 DYNAMICS OF RIGID BODIES 2.1.2 MOTION OF SEVERAL PARTICLES Motion of Several Particles: Relative Motion 𝑥 Relative Position Of B With Respect To A 𝑣 Relative Velocity Of B With Respect To A = 𝑥 −𝑥 ⁄ ⁄ ⁄ =𝑣 −𝑣 𝑣 =𝑣 +𝑣 𝑎 Relative Acceleration Of B With Respect To A ⁄ 𝑥 =𝑥 +𝑥 ⁄ =𝑎 −𝑎 𝑎 = 𝑎 +𝑎 ⁄ 4 MAIN TOPIC NO. 2 KINEMATICS ENGG 408 DYNAMICS OF RIGID BODIES 2.1.2 MOTION OF SEVERAL PARTICLES Motion of Several Particles: Relative Motion 5 MAIN TOPIC NO. 2 KINEMATICS ENGG 408 DYNAMICS OF RIGID BODIES 2.1.2 MOTION OF SEVERAL PARTICLES Motion of Several Particles: Relative Motion 6 2 2/16/2023 MAIN TOPIC NO. 2 KINEMATICS ENGG 408 DYNAMICS OF RIGID BODIES 2.1.2 MOTION OF SEVERAL PARTICLES Motion of Several Particles: Relative Motion 7 MAIN TOPIC NO. 2 KINEMATICS ENGG 408 DYNAMICS OF RIGID BODIES SAMPLE PROBLEMS SAMPLE PROBLEM NO. 1 Ball thrown vertically from 12 m level in elevator shaft with initial velocity of 18 m/s. At same instant, open platform elevator passes 5 m level moving upward at 2 m/s. Determine: (a) when and where ball hits elevator (b) relative velocity of ball and elevator at contact. 8 MAIN TOPIC NO. 2 KINEMATICS ENGG 408 DYNAMICS OF RIGID BODIES SAMPLE PROBLEMS SAMPLE PROBLEM NO. 1 9 3 2/16/2023 MAIN TOPIC NO. 2 KINEMATICS ENGG 408 DYNAMICS OF RIGID BODIES SAMPLE PROBLEMS SAMPLE PROBLEM NO. 1 10 MAIN TOPIC NO. 2 KINEMATICS ENGG 408 DYNAMICS OF RIGID BODIES SAMPLE PROBLEMS SAMPLE PROBLEM NO. 1 11 MAIN TOPIC NO. 2 KINEMATICS ENGG 408 DYNAMICS OF RIGID BODIES SAMPLE PROBLEMS SAMPLE PROBLEM NO. 1 12 4 2/16/2023 MAIN TOPIC NO. 2 KINEMATICS ENGG 408 DYNAMICS OF RIGID BODIES SAMPLE PROBLEMS SAMPLE PROBLEM NO. 1 13 5
