A material point with a mass of m = 1kg moves along a circle with a radius of r = 2m at a speed v = 2t. Determine the modulus of the resultant forces acting on the point at time t = 1s.
m = 1 kilogram is the mass of a material point;
v = 2 * t – dependence of the point speed on time;
r = 2 meters – the radius of the circle along which the point moves;
t = 1 second – time interval.
It is required to determine the modulus of the resultant forces F (Newton) at time t.
Let’s find the speed of a material point at time t:
v = 2 * t = 2 * 1 = 2 m / s.
Then the acceleration is equal to:
a = v ^ 2 / r = 2 ^ 2/2 = 2 m / s ^ 2.
The modulus of the resultant forces will be equal to:
F = m * a = 1 * 2 = 2 Newtons.
Answer: the modulus of the resultant forces is 2 Newtons.
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