Two Boxes Are Connected by a Weightless Cord Running Over

question 105

Essay

Two boxes are connected by a weightless cord running over a very light frictionless pulley as shown in the figure. Box A,of mass 8.0 kg,is initially at rest on the top of the table.The coefficient of kinetic friction between box A and the table is 0.10. Box B has a mass of 15.0 kg,and the system begins to move just after it is released.
(a) Draw the free-body diagrams for each of the boxes,identifying all of the forces acting on each one.
(b) Calculate the acceleration of each box.
(c) What is the tension in the cord?

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Definitions:

Bonferroni Inequalities

Statistical safeguards used to reduce the chances of making incorrect inferences when multiple hypothesis tests are being performed simultaneously.

False Discovery Rate

A statistical method used to estimate the proportion of false positives among a set of identified positives, often applied in multiple hypothesis testing.

Boole's Inequality

A mathematical theorem that describes the upper bound on the probability of the union of several events, emphasizing the limitations of additive probabilities.

Hindsight Bias

The tendency to believe, after learning an outcome, that one would have foreseen it, often referred to as the "I-knew-it-all-along" phenomenon.