The 1.0 kg bat (mass A) strikes the 0.14 kg baseball (mass B) at a velocity of 28 m/s with a launch angle of 30° (81) from the horizontal axis. The baseball travels to the home plate at 40 m/s (89.5 mph) with an angle of 5° (P1) from the horizontal axis. The coefficient of restitution between the bat and the ball is 0.55. Assume that (1) the bat collides with the ball at 1.0 m above the ground, (2) the bat moves in the direction along the line of impact (perfect swing), and (3) aerodynamic effect is negligible. Subscripts 1 and 2 represent conditions just before and just after the impact, respectively. (a) Determine the velocity (magnitude and direction, in normal and tangential coordinates as well as in the x-y coordinates) of the bat and the ball after the collision. (b) Determine the distance (L) and flight time (t) of the baseball, until it touches the ground. (c) If the contact time is 0.75 millisecond, determine the impact force. (d) Repeat (a) and (b) for 01 = -10°, 10°, 20°, 45°, 60º. (e) Plot the ball velocity after the impact (Ve)2, and the flight distance (L) vs 01. (f) What launch (81) angles will result in homeruns (assume length = 120 m, height = 3.0 m)? Line of Impact (n) (Vo)z ball (Va)a bat

The 1.0 kg bat (mass A) strikes the 0.14 kg baseball (mass B) at a velocity of 28 m/s with a launch angle of 30° (81) from the horizontal axis. The baseball travels to the home plate at 40 m/s (89.5 mph) with an angle of 5° (P1) from the horizontal axis. The coefficient of restitution between the bat and the ball is 0.55. Assume that (1) the bat collides with the ball at 1.0 m above the ground, (2) the bat moves in the direction along the line of impact (perfect swing), and (3) aerodynamic effect is negligible. Subscripts 1 and 2 represent conditions just before and just after the impact, respectively. (a) Determine the velocity (magnitude and direction, in normal and tangential coordinates as well as in the x-y coordinates) of the bat and the ball after the collision. (b) Determine the distance (L) and flight time (t) of the baseball, until it touches the ground. (c) If the contact time is 0.75 millisecond, determine the impact force. (d) Repeat (a) and (b) for 01 = -10°, 10°, 20°, 45°, 60º. (e) Plot the ball velocity after the impact (Ve)2, and the flight distance (L) vs 01. (f) What launch (81) angles will result in homeruns (assume length = 120 m, height = 3.0 m)? Line of Impact (n) (Vo)z ball (Va)a bat

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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