Newton's second lawFind the force exerted by each cable to support the 625 N bag andÂ  37 degree angle

garywilson93 | College Teacher | (Level 2) eNoter

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Newton's second law of motion pertains to the behavior of objects for which all existing forces are not balanced. The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object. The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased.

william1941 | College Teacher | (Level 3) Valedictorian

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A bag that weighs 625 N and is supported by cables at an angle of 37 degrees would need a minimum of two cables. Here all the calculations have been done using a two cable model to support the bag.

Now we see that the downward force due to the bag is 625 N. As the cables are pointed upwards at an angle of 37 degrees to the horizontal, the force of tension (T) can be divided into two components: a vertical component of T sin 37 and a horizontal component of T cos 37.

The vertical components of the tension of both the cables point upwards and their sum is equal to the force of 625 N acting downwards. Therefore we have that 2*T sin 37 = 625.

=>T sin 37 = 625/2

=>T sin 37 = 312.5

=> T = 312.5 / sin 37

=> T = 312.5 / .6

=> T = 519.26 N

Therefore the force exerted by each cable is 519.26 N