Answer:
a. El peso = 686 Newton
b. El peso = 113.4 Newton
Explanation:
Dados los siguientes datos;
Masa = 70 kg
Aceleración debida a la gravedad en la luna = 1,62 m/s² una.
a. Para encontrar la fuerza-peso en la Tierra;
Sabemos que la aceleración debida a la gravedad es igual a 9,8 m/s² en el planeta Tierra.
El peso se puede definir como la fuerza que actúa sobre un cuerpo o un objeto como resultado de la gravedad.
Matemáticamente, el peso de un objeto viene dado por la fórmula;
Dónde;
m es la masa del objeto.
g es la aceleración debida a la gravedad.
Substituting into the formula, we have;
El peso = 70 * 9.8
El peso = 686 Newton
b. To find weight on moon;
Weight = mass * acceleration due to gravity on moon
Weight = 70 * 1.62
Weight = 113.4 Newton
Answer:
2.23 Hz
Explanation:
From the attached diagram below; there exists a diagrammatic representation of the equilibrium position of the cylinder.
The equilibrium position of the spring is expressed as:
mg = K
where;
m = mass of the object
g = acceleration due to gravity
K = spring constant
= static deflection of the string
Given that:
m = 30 kg
g = 9.81 m/s²
= 50 mm = 50 ×
= 0.05 m
Then;
From here; let us find the angular velocity which will be needed to determine the natural frequency aftewards.
The angular velocity of the cylinder can be expressed by the formula:
Finally; the natural frequency can be calculated by using the equation
= 2.229305729
≅ 2.23 Hz
Thus; the resulting natural frequency of the vertical vibration of the cylinder = 2.23 Hz
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