Question

As shown in the diagram, the 15-kg box B moves to the right at an initial velocity vo = 2 m/s when d = 0.7 m. A force F = 120 N along a specified direction is applied on the box during the entire motion of the box along a smooth floor. When the box reaches the spring at A, it starts k to compress the spring until it comes to a temporary stop. The spring constant is k = 1200 N/m. Solve the following: a) Draw free body diagrams of the box before and after it 30° reaches the spring. (6 pts) WWW b) Explicitly specify the condition for the spring to reach А the maximum compression. (3 pts) c) Use work and energy methods (either the principle of work and energy or conservation of energy, whichever fits the best) to determine the maximum compression of the spring. (16 pts) B

Answer 1

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Vo =2 m/sec d=0.7m F = 1200, m= 15kg, K=1200 N/m AN a) FBD of box ng b) at Maximum Compression potential enersy stored in the Spring is Maximum and kinetic energy of the block becomes Zero. c) let Maximum comprension = X using exerty to to work- eneroy theorem £mv + F Cap36) + (d + Xo 1k x² *15*4+ (1206936) (0.7+x.) – 1200 x32 - - 600x + 103.923% + 102.746=0 on solving, (x=0.50938 m) And x=0