At the instant illustrated assigned as point A, a 3 kg box is pushed against spring A so it can travel along the floor and reach spring B. Spring A's undeformed length is 0.7 m. Spring B is initially undeformed. The spring constant of spring A is 600 N/m and spring B is 800 N/m. The package is released from rest. Assume that the package maintains contact with the floor at all times. The coefficient of sliding friction is 0.4 across the whole floor. Point B is the instant wherein the package touches the end of undeformed spring B. Point C is the instant the package temporarily stops as it reaches the other end of the deformed spring B. 1. What's the work done by friction from point A to B? 2. What's the sum of the work done by gravity and spring from point A to B? 3. What's the velocity of the box at the instant it touches the end of undeformed spring B? 4. What's the maximum deformation of spring B as the box reaches point C?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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At the instant illustrated assigned as point A, a 3 kg box is pushed against spring A so it can travel along the floor and reach spring B. Spring A's undeformed length is 0.7 m. Spring B is initially undeformed. The spring constant of spring A is 600 N/m and spring B is 800 N/m. The package is released from rest. Assume that the package maintains contact with the floor at all times. The coefficient of sliding friction is 0.4 across the whole floor. Point B is the instant wherein the package touches the end of undeformed spring B. Point C is the instant the package temporarily stops as it reaches the other end of the deformed spring B.
1. What's the work done by friction from point A to B?
2. What's the sum of the work done by gravity and spring from point A to B?
3. What's the velocity of the box at the instant it touches the end of undeformed spring B?
4. What's the maximum deformation of spring B as the box reaches point C?

Spring A
1.6m
DO
0.3m
45°
1.3m
30°
Spring B
0.9m
Transcribed Image Text:Spring A 1.6m DO 0.3m 45° 1.3m 30° Spring B 0.9m
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