Support Force Calculator, Formula, Support Force Calculation

Support Force Calculator:

Enter the values of masses of the objects, M_1(kg) and M_2(kg) and acceleration due to gravity, a_(m/s2) to determine the value of support force, SF_(N).

Support Force Formula:

Support force refers to the force that a support structure must exert to hold up objects against the force of gravity.

Support force, SF_(N) in Newtons is equated by the product of sum of masses of the objects, M_1(kg) and M_2(kg) in kilograms and acceleration due to gravity, a_(m/s2) in metres per second squared.

Support force, SF_(N) = (M_1(kg) + M_2(kg)) * a_(m/s2)

SF_(N) = support force in Newtons, N.

M_1(kg) + M_2(kg) = masses of the objects in kilograms, kg.

a_(m/s2)  = acceleration due to gravity in metres per second squared, m/s², approximately 9.81m/s² on the surface of the Earth.

Support Force Calculation:

1. Calculate the support force required to hold up two objects with masses of 10 kg and 15 kg, respectively.

Given: M_1(kg) = 10kg, M_2(kg) = 15kg.

Support force, SF_(N) = (M_1(kg) + M_2(kg)) * a_(m/s2)

SF_(N) = ( 10 + 15 ) * 9.81

SF_(N) = 245.25N.

2. Assume you have a support force of 196.2 Newtons, the mass of the second object is 10 kg, and the acceleration due to gravity is 9.81m/s². Find M_1(kg).

Given: SF_(N) = 196.2N, M_2(kg) = 10kg.

Support force, SF_(N) = (M_1(kg) + M_2(kg)) * a_(m/s2)

M_1(kg) = ( SF_(N) / a_(m/s2) ) – M_2(kg)

M_1(kg) = (196.2 / 9.81) – 10

M_1(kg) = 20 – 10

M_1(kg) = 10kg.

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