A geared system possessed a kinetic energy if 200kJ, later it was converted into a two-rotor system connected by a shaft. The kinetic energy of the equivalent system will be_____

A geared system possessed a strain energy if 150kJ, later it was converted into a two-rotor system connected by a shaft. The Strain energy of the equivalent system will be _____

A

150 kJ

B

less than 150 kJ

C

more than 150 kJ

D

Dependent on the length of the equivalent shaft

Consider two shafts connected with two gears as per the following options: 1. One on each shaft 2. Through an intermediate gear mounted on an intermediate shaft, and every shaft having one gear only 3. Through an intermediate gear mounted on an intermediate shaft, with the intermediate shaft having two gears, whereas the other shafts have one gear each Which of the above represent(s) a simple gear train?

A

1 only

B

1 and 2 only

C

2 and 3 only

D

1, 2 and 3

A torsional system with discs of moment of inertia $${I_1}$$ and $${I_2}$$ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to
Theory of Machine mcq question image

A

$${\text{G}} \times {I_2}$$

B

$${{\text{G}}^2} \times {I_2}$$

C

$$\frac{{{I_2}}}{{\text{G}}}$$

D

$$\frac{{{I_2}}}{{{{\text{G}}^2}}}$$

A double universal joint is used to connect two shafts in the same plane. The intermediate shaft is inclined at an angle of 20° to the driving shaft as well as the driven shaft. Find the maximum speed of the intermediate shaft if the driving shaft has a constant speed of 500 r.p.m.

A

532.1 r.p.m

B

469.85 r.p.m

C

566.25 r.p.m

D

441.5 r.p.m.

A double universal joint is used to connect two shafts in the same plane. The intermediate shaft is inclined at an angle of 20° to the driving shaft as well as the driven shaft. Find the minimum speed of the intermediate shaft if the driving shaft has a constant speed of 500 r.p.m.

A

532.1 r.p.m

B

469.85 r.p.m.

C

566.25 r.p.m.

D

441.5 r.p.m.

A double universal joint is used to connect two shafts in the same plane. The intermediate shaft is inclined at an angle of 20° to the driving shaft as well as the driven shaft. Find the maximum speed of the driven shaft if the driving shaft has a constant speed of 500 r.p.m.

A

532.1 r.p.m

B

469.85 r.p.m.

C

566.25 r.p.m.

D

441.5 r.p.m.

A double universal joint is used to connect two shafts in the same plane. The intermediate shaft is inclined at an angle of 20° to the driving shaft as well as the driven shaft. Find the minimum speed of the driven shaft if the driving shaft has a constant speed of 500 r.p.m.

A

532.1 r.p.m

B

469.85 r.p.m.

C

566.25 r.p.m.

D

441.5 r.p.m.

Two heavy rotating masses are connected by shafts of lengths $${l_1},\,{l_2}$$ and $${l_3}$$ and the corresponding diameters are d₁, d₂ and d₃. This system is reduced to a torsionally equivalent system having uniform diameter d = d₁ of the shaft. The equivalent length of the shaft is

A

$$\frac{{{l_1} + {l_2} + {l_3}}}{3}$$

B

$${l_1} + {l_2}{\left( {\frac{{{{\text{d}}_1}}}{{{{\text{d}}_2}}}} \right)^3} + {l_3}{\left( {\frac{{{{\text{d}}_1}}}{{{{\text{d}}_3}}}} \right)^3}$$

C

$${l_1} + {l_2}{\left( {\frac{{{{\text{d}}_1}}}{{{{\text{d}}_2}}}} \right)^4} + {l_3}{\left( {\frac{{{{\text{d}}_1}}}{{{{\text{d}}_3}}}} \right)^4}$$

D

$${l_1} + {l_2} + {l_3}$$

In a mine between upcast shaft and downcast shaft, two airways are connected in parallel and their resistances are 100 and 120 Ns^-2m^-8 respectively. The resistance of upcast shaft, downcast shaft and the fan drifts are 10, 20, and 5 Ns^-2m^-8 respectively. The rate of airflow through the split airway having resistance of 100 Ns^-2m^-8 in m³/s is

A

0.42

B

0.79

C

2.19

D

7.90

E

270.06

In a mine between upcast shaft and downcast shaft, two airways are connected in parallel and their resistances are 100 and 120 Ns^-2m^-8 respectively. The resistance of upcast shaft, downcast shaft and the fan drifts are 10, 20, and 5 Ns^-2m^-8 respectively. The fan drift air pressure is 15 MN/m². The rate of airflow through the mine in m³

A

4.16

B

18.26

C

240.35

D

333.33

E

490.56

A geared system possessed a kinetic energy if 200kJ, later it was converted into a two-rotor system connected by a shaft. The kinetic energy of the equivalent system will be_____

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