Two cables tied together at C are loaded as shown. The maximum allowable tension in cable AC is 2600 N, and in cable BC is 700 N. Find (a) the magnitude of the largest force P (in N) which may be applied at C and (b) the corresponding angle a (in degrees).

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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!