1
GATE ME 2006
+2
-0.6
A vibratory system consists of a mass $$12.5$$ kg, a spring of stiffness $$1000$$ $$N/m,$$ and a dashpot with damping coefficient of $$15$$ $$Ns/m.$$

The value of logarithmic decrement is

A
$$1.35$$
B
$$0.42$$
C
$$0.68$$
D
$$0.66$$
2
GATE ME 2006
+2
-0.6
A vibratory system consists of a mass $$12.5$$ kg, a spring of stiffness $$1000$$ $$N/m,$$ and a dashpot with damping coefficient of $$15$$ $$Ns/m.$$

The value of critical damping of the system is:

A
$$0.223$$ $$Ns/m$$
B
$$17.88$$ $$Ns/m$$
C
$$71.4$$ $$Ns/m$$
D
$$223.6$$ $$Ns/m$$
3
GATE ME 2005
+2
-0.6
In a spring-mass system, the mass is 0.1 kg and the stiffness of the spring is 1 kN/m. By introducing a damper, the frequency of oscillation is found to be 90% of the original value. What is the damping coefficient of the damper?
A
1.2 N.s/m
B
3.4 N.s/m
C
8.7 N.s/m
D
12.0 N.s/m
4
GATE ME 2004
+2
-0.6
A uniform stiff rod of length $$300$$ $$mm$$ and having a weight of $$300$$ $$N$$ is pivoted at one end and connected to a spring at the other end. For keeping the rod vertical in a stable position the minimum value of spring constant $$K$$ needed is
A
$$300$$ $$N/m$$
B
$$400$$ $$N/m$$
C
$$500$$ $$N/m$$
D
$$1000$$ $$N/m$$
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