Engineering Mechanics MCQ Questions & Answers

51

The resolved part of the resultant of two forces inclined at an angle 'θ' in a given direction is equal to

A) The algebraic sum of the resolved parts of the forces in the given direction B) The sum of the resolved parts of the forces in the given direction C) The difference of the forces multiplied by the cosine of θ D) The sum of the forces multiplied by the sine of θ

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Answer & Solution

Answer: Option A

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52

One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where $$\delta $$ = Deflection of the spring.)

A) $$2\pi \sqrt {\frac{g}{\delta }} $$ B) $$\frac{1}{{2\pi }}\sqrt {\frac{g}{\delta }} $$ C) $$2\pi \sqrt {\frac{\delta }{g}} $$ D) $$\frac{1}{{2\pi }}\sqrt {\frac{\delta }{g}} $$

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Answer & Solution

Answer: Option B

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53

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

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Answer & Solution

Answer: Option D

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54

If the masses of both the bodies, as shown in the below figure, are reduced to 50 percent, then tension in the string will be
Engineering Mechanics mcq question image

Engineering Mechanics mcq question image

A) Same B) Half C) Double D) None of these

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Answer & Solution

Answer: Option B

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55

The range of projectile will be maximum for a given velocity of projectile, when the angle of projection ($$\alpha $$) is

A) $$\frac{\beta }{2}$$ B) 30° + $$\frac{\beta }{2}$$ C) 45° + $$\frac{\beta }{2}$$ D) 60° + $$\frac{\beta }{2}$$

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Answer & Solution

Answer: Option C

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56

Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the depth (d), is

A) $$\frac{{{\text{d}}{{\text{b}}^3}}}{{12}}$$ B) $$\frac{{{\text{b}}{{\text{d}}^3}}}{{12}}$$ C) $$\frac{{{\text{d}}{{\text{b}}^3}}}{{36}}$$ D) $$\frac{{{\text{b}}{{\text{d}}^3}}}{{36}}$$

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Answer & Solution

Answer: Option A

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57

Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the width (b), is

A) $$\frac{{{\text{d}}{{\text{b}}^3}}}{{12}}$$ B) $$\frac{{{\text{b}}{{\text{d}}^3}}}{{12}}$$ C) $$\frac{{{\text{d}}{{\text{b}}^3}}}{{36}}$$ D) $$\frac{{{\text{b}}{{\text{d}}^3}}}{{36}}$$

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Answer & Solution

Answer: Option B

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58

A smooth cylinder lying on a __________ is in neutral equilibrium.

A) Curved surface B) Convex surface C) Horizontal surface D) None of these

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Answer & Solution

Answer: Option C

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59

The resultant of the following three couples 20 kg force, 0.5 m arm, +ve sense 30 kg force, 1 m arm, -ve sense 40 kg force, 0.25 m arm, +ve sense having arm of 0.5 m will be

A) 20 kg, -ve sense B) 20 kg, +ve sense C) 10 kg, +ve sense D) 10 kg, -ve sense

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Answer & Solution

Answer: Option A

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60

A couple produces

A) Translatory motion B) Rotational motion C) Combined translatory and rotational motion D) None of the above

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Answer & Solution

Answer: Option B

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Engineering Mechanics MCQ Questions & Answers | Mechanical Engineering