Klein's construction can be used to determine acceleration of various parts when the crank is at

The primary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given by (where m = Mass of reciprocating parts, $$\omega $$ = Angular speed of crank, r = Radius of crank, $$\theta $$ = Angle of inclination of crank with the line of stroke and n = Ratio of the length of connecting rod to radius of crank)

A

$${\text{m}}{\omega ^2}{\text{r}}\sin \theta $$

B

$${\text{m}}{\omega ^2}{\text{r}}\cos \theta $$

C

$${\text{m}}{\omega ^2}{\text{r}}\frac{{\sin 2\theta }}{{\text{n}}}$$

D

$${\text{m}}{\omega ^2}{\text{r}}\frac{{\cos2\theta }}{{\text{n}}}$$

The secondary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given by (where m = Mass of reciprocating parts, $$\omega $$ = Angular speed of crank, r = Radius of crank, $$\theta $$ = Angle of inclination of crank with the line of stroke and n = Ratio of the length of connecting rod to radius of crank)

A

$${\text{m}}{\omega ^2}{\text{r}}\sin \theta $$

B

$${\text{m}}{\omega ^2}{\text{r}}\cos \theta $$

C

$${\text{m}}{\omega ^2}{\text{r}}\frac{{\sin 2\theta }}{{\text{n}}}$$

D

$${\text{m}}{\omega ^2}{\text{r}}\frac{{\cos2\theta }}{{\text{n}}}$$

The velocity of piston in a reciprocating steam engine is given by (where $$\omega $$ = Angular velocity of crank, r = Radius of crank pin circle, $$\theta $$ = Angle turned by crank from inner dead center and n = Ratio of length of connecting rod to the radius of crank)

A

$$\omega {\text{r}}\left( {\sin \theta + \frac{{\sin 2\theta }}{{\text{n}}}} \right)$$

B

$$\omega {\text{r}}\left( {\cos\theta + \frac{{\cos2\theta }}{{\text{n}}}} \right)$$

C

$${\omega ^2}{\text{r}}\left( {\sin \theta + \frac{{\sin 2\theta }}{{\text{n}}}} \right)$$

D

$${\omega ^2}{\text{r}}\left( {\cos\theta + \frac{{\cos2\theta }}{{\text{n}}}} \right)$$

The tractive force in a locomotive with two cylinders is given by (where c = Fraction of reciprocating parts per cylinder, m = Mass of reciprocating parts, $$\omega $$ = Angular speed of crank, r = Radius of crank and $$\theta $$ = Angle of inclination of crank to the line of stroke)

A

$${\text{m}}{\omega ^2}{\text{r}}\cos \theta $$

B

$${\text{cm}}{\omega ^2}{\text{r}}\sin \theta $$

C

$$\left( {1 - {\text{c}}} \right){\text{m}}{\omega ^2}{\text{r}}\left( {\cos \theta - \sin \theta } \right)$$

D

$${\text{m}}{\omega ^2}{\text{r}}\left( {\cos \theta - \sin \theta } \right)$$

গরম বাতাসে পরিপূর্ণ M ভরের একটি বেলুন (থ্রডি সহ) পৃথিবীর দিকে খুব ত্বরণ a তে নেমে আসছে। ঝুড়ি থেকে কি পরিমান m ভর ফেলে দিলে বেলুনটি উপরের দিকে একই খুব ত্বরন a- তে উঠে যাবে ? সকল ক্ষেত্রে বেলুনটির আয়তন একই ছিল বলে ধরে নেওয়া হলো। (g = অভিকর্ষীয় ত্বরন)(A hot air balloon with a bucket is descending towards the earth with a constant acceleration a. The combined mass of the balloon and bucket is M. What mass m from the bucket should be released so that the balloon starts ascending up with the same acceleration a? Consider the volume of the balloon remains constant at all the time. (g=acceleration due to gravity))

A

m=2ag+aM

B

m=g+a2M

C

m=2ag M

D

m=M2a(g+a)

E

m=ag+M

When the primary direct crank of a reciprocating engine makes an angle of $$\theta $$ with the line of stroke, then the secondary direct crank will make an angle of _________ with the line of stroke.

A

$$\frac{\theta }{2}$$

B

$$\theta $$

C

$$2\theta $$

D

$$4\theta $$

The number of centers in a crank driven slider crank mechanism is

A

0

B

2

C

4

D

6

K produces 100 parts twice as fast as G does. G produces 100 parts in 40 minutes. If each produces parts at a constant rate, how many parts will K produces in 6 minutes.

A

30

B

25

C

20

D

15

When the crank is at the inner dead center, in a reciprocating steam engine, then the acceleration of the piston will be

A

$${\omega ^2}{\text{r}} \times \frac{{{\text{n}} + 1}}{{\text{n}}}$$

B

$${\omega ^2}{\text{r}} \times \frac{{{\text{n}} - 1}}{{\text{n}}}$$

C

$${\omega ^2}{\text{r}} \times \frac{{\text{n}}}{{{\text{n}} + 1}}$$

D

$${\omega ^2}{\text{r}} \times \frac{{\text{n}}}{{{\text{n}} - 1}}$$

When the crank is at the outer dead centre, in a reciprocating steam engine, then the acceleration of the piston will be

A

$${\omega ^2}{\text{r}} \times \frac{{{\text{n}} + 1}}{{\text{n}}}$$

B

$${\omega ^2}{\text{r}} \times \frac{{{\text{n}} - 1}}{{\text{n}}}$$

C

$${\omega ^2}{\text{r}} \times \frac{{\text{n}}}{{{\text{n}} + 1}}$$

D

$${\omega ^2}{\text{r}} \times \frac{{\text{n}}}{{{\text{n}} - 1}}$$

Klein's construction can be used to determine acceleration of various parts when the crank is at

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