Question

The equation of motion of a block with mass m = 8 kg. attached to a spring whose spring Constant is k = 2 and which starts from rest at a point 3 cm above equilibrium is 8x ′′ + 2x = 0; x(0) = 3, x ′ (0) = 0.A. True.B. False.

Answer 1

FALSE

Explanation:

In order to be consistent with the system of unit we should decide if we are going to work with the CGS system (centimeter-gram-second) or the MKS system (meter-kilogram-second).

If we decide to work with the CGS system, the equation of motion would be

8,000x ′′ + 2x = 0; x(0) = 3, x ′ (0) = 0

since 1 Kg = 1,000 g

If we decide to work with the MKS system, the equation of motion would be

8x ′′ + 2x = 0; x(0) = 0.03, x ′ (0) = 0

given that 1 mt = 100 cm