GATE ME 2001 | Vibrations Question 57 | Theory of Machines

GATE ME 2001

MCQ (Single Correct Answer)

-0.6

The assembly shown in the figure is composed of two massless rods of length $$l$$ with two particles, each of mass $$m$$. The natural frequency of this assembly for small oscillations is GATE ME 2001 Theory of Machines - Vibrations Question 42 English

GATE ME 2001 Theory of Machines - Vibrations Question 42 English

$$\sqrt {g/\ell } $$

$$\sqrt {2g/\left( {\ell \cos \alpha } \right)} $$

$$\sqrt {g/\left( {\ell \cos \alpha } \right)} $$

$$\sqrt {\left( {g\cos \alpha } \right)/\ell } $$

GATE ME 2000

MCQ (Single Correct Answer)

-0.6

As shown in Figure, a mass of 100 kg is held between two springs. The natural frequency of vibration of the system, in cycles/s, is GATE ME 2000 Theory of Machines - Vibrations Question 43 English

GATE ME 2000 Theory of Machines - Vibrations Question 43 English

$${1 \over {2\pi }}$$

$${5 \over {\pi }}$$

$${10 \over {\pi }}$$

$${20 \over {\pi }}$$

GATE ME 1999

MCQ (Single Correct Answer)

-0.6

Consider the system of two wagons shown in Figure. The natural frequencies of this system are GATE ME 1999 Theory of Machines - Vibrations Question 44 English

GATE ME 1999 Theory of Machines - Vibrations Question 44 English

$$0,\sqrt {{{2k} \over m}} $$

$$\sqrt {{k \over m}} ,\sqrt {{{2k} \over m}} $$

$$\sqrt {{k \over m}} ,\sqrt {{k \over {2m}}} $$

$$0,\sqrt {{{k} \over 2m}} $$

GATE ME 1996

MCQ (Single Correct Answer)

-0.6

A mass of $$1$$ kg is suspended by means of $$3$$ springs as shown in Figure. The spring constants $$\,{K_1},\,{K_2}\,\,$$ and $$\,{K_3},$$ are respectively $$1$$ $$kN/m,$$ $$3$$ $$kN/m$$ and $$2$$ $$kN/m.$$ The natural frequency of the system is approximately ) GATE ME 1996 Theory of Machines - Vibrations Question 45 English