I drop a 0.5 kg ceramic plate on the ground and it breaks into three pieces. I recover two of the pieces; one is 0.15 kg and located a distance 2 m away from the site of impact, in a 8. direction 87° from an arbitrary axis. The second is 0.3 kg and located a distance 1 m away in a direction 238° from the same axis. Where should I search for the third piece? Assume that after the plate broke, the pieces slid along the ground and experienced a constant frictional force of 0.5 N. Hint: Write the equation for conservation of energy for each of the 3 pieces after the collision. Write equations for conservation of momentum in the x- and y-directions at the time of the collision. You should have five equations with five unknowns (v1, V2, V3, 0, and d, where d is the distance travelled by the third piece). Find 0 and d.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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I drop a 0.5 kg ceramic plate on the ground and it breaks into three pieces. I
recover two of the pieces; one is 0.15 kg and located a distance 2 m away from the site of impact, in a
8.
direction 87° from an arbitrary axis. The second is 0.3 kg and located a distance 1 m away in a direction
238° from the same axis. Where should I search for the third piece? Assume that after the plate broke,
the pieces slid along the ground and experienced a constant frictional force of 0.5 N. Hint: Write the
equation for conservation of energy for each of the 3 pieces after the collision. Write equations for
conservation of momentum in the x- and y-directions at the time of the collision. You should have five
equations with five unknowns (v1, V2, V3, 0, and d, where d is the distance travelled by the third piece).
Find 0 and d.
Transcribed Image Text:I drop a 0.5 kg ceramic plate on the ground and it breaks into three pieces. I recover two of the pieces; one is 0.15 kg and located a distance 2 m away from the site of impact, in a 8. direction 87° from an arbitrary axis. The second is 0.3 kg and located a distance 1 m away in a direction 238° from the same axis. Where should I search for the third piece? Assume that after the plate broke, the pieces slid along the ground and experienced a constant frictional force of 0.5 N. Hint: Write the equation for conservation of energy for each of the 3 pieces after the collision. Write equations for conservation of momentum in the x- and y-directions at the time of the collision. You should have five equations with five unknowns (v1, V2, V3, 0, and d, where d is the distance travelled by the third piece). Find 0 and d.
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