The product of the tangential force acting on the shaft and its distance from the axis of the shaft (i.e. radius of shaft) is known as

The radius of a friction circle for a shaft rotating inside a bearing is (where r = Radius of shaft and $$\tan \varphi $$ = Coefficient of friction between the shaft and bearing)

A

$${\text{r}}\sin \varphi $$

B

$${\text{r}}\cos \varphi $$

C

$${\text{r}}\tan \varphi $$

D

$$\frac{{\text{r}}}{2}\cos \varphi $$

The change in length due to a tensile or compressive force acting on a body is given by (where P = Tensile or compressive force acting on the body, $$l$$ = Original length of the body, A = Cross-sectional area of the body and E = Young's modulus for the material of the body)

A

$$\frac{{{\text{P}}l{\text{A}}}}{{\text{E}}}$$

B

$$\frac{{{\text{P}}l}}{{{\text{AE}}}}$$

C

$$\frac{{\text{E}}}{{{\text{P}}l{\text{A}}}}$$

D

$$\frac{{{\text{AE}}}}{{{\text{P}}l}}$$

The moment of inertia of a sphere of mass 'm' and radius 'r', about an axis tangential to it, is

A

$$\frac{2}{3}{\text{m}}{{\text{r}}^2}$$

B

$$\frac{2}{5}{\text{m}}{{\text{r}}^2}$$

C

$$\frac{7}{3}{\text{m}}{{\text{r}}^2}$$

D

$$\frac{7}{5}{\text{m}}{{\text{r}}^2}$$

In order to have a connecting rod equally strong in buckling about X-axis and Y-axis, the moment of inertia about X-axis should be __________ the moment of inertia about Y-axis.

A

Equal to

B

Twice

C

Three times

D

Four times

Two shafts A and B are made of the same material. The diameter of shaft A is twice as that of shaft B. The power transmitted by the shaft A will be __________ of shaft B.

A

Twice

B

Four times

C

Eight times

D

Sixteen times

The maximum tangential stress in a thick cylindrical shell is always _________ the internal pressure acting on the shell.

A

Equal to

B

Less than

C

Greater than

D

None of these

Scheme-1: C6H5N2Cl→CuCNC6H5CN→H2o/H+C6H5COOH→∆Product-I Scheme-2: C6H5NO2→Fe/HCLC6H5NH2→N2NO3+HCL, 273KC6H5N2Cl→H2O/H+Product-II Scheme-3: CH3COOH→NH3CH3CONH2→NaOBrProduct-III উল্লিখিত Scheme সমূহে Product-I, Product-II এবং Product-III হলো যথাক্রমেঃ

A

C6H5COONH4, C6H5Cl and CH3OH

B

C6H5CONH2, C6H5NH2 and CH3OH

C

C6H5CONH2, C6H5NH2 and CH3NH2

D

C6H5CONH2, C6H5OH and CH3OH

The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where $$\delta {\text{S}}$$ = Static deflection of simply supported shaft due to uniformly distributed load)

A

$$\frac{{0.4985}}{{\sqrt {\delta {\text{S}}} }}$$

B

$$\frac{{0.5615}}{{\sqrt {\delta {\text{S}}} }}$$

C

$$\frac{{0.571}}{{\sqrt {\delta {\text{S}}} }}$$

D

$$\frac{{0.6253}}{{\sqrt {\delta {\text{S}}} }}$$

The natural frequency of free transverse vibrations due to a point load acting over a simply supported shaft is equal to (where $$\delta $$ = Static deflection of a simply supported shaft due to the point load)

A

$$\frac{{0.4985}}{{\sqrt \delta }}$$

B

$$\frac{{0.5615}}{{\sqrt \delta }}$$

C

$$\frac{{0.571}}{{\sqrt \delta }}$$

D

$$\frac{{0.6253}}{{\sqrt \delta }}$$

0.50 kg ভরের একটি কণা X অক্ষ বরাবর x(t)= -13.00+2.00t+4.00t2-3.00t3 সমীকরণ অনুযায়ী চলছে, যেখানে x এর একক মিটার এবং এর একক সেকেন্ড। t=2.0. s - 4 কণার ওপর লব্ধি বল কত? (A 0.50 kg particle moves along the X axis according to x(t)= -13.00+2.00t+4.00t2-3.00t3where x is in meters and t in seconds. What is the net force acting on the particle at t = 2 s?)

A

-28 N

B

-14 N

C

8 N

D

36 N

The product of the tangential force acting on the shaft and its distance from the axis of the shaft (i.e. radius of shaft) is known as

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