Applied mechanics and graphic statics

1. M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is A. $$\frac{\pi }{{64}}\left( {{{\text{D}}^4} + {{\text{d}}^4}} \right)$$ B. $$\frac{\pi }{{32}}\left( {{{\text{D}}^4} – {{\text{d}}^4}} \right)$$ C. $$\frac{\pi }{{32}}\left( {{{\text{D}}^4} + {{\text{d}}^4}} \right)$$ D. $$\frac{\pi }{{32}}\left( {{{\text{D}}^4} \times {{\text{d}}^4}} \right)$$

$$rac{pi }{{64}}left( {{{ ext{D}}^4} + {{ ext{d}}^4}} ight)$$
$$rac{pi }{{32}}left( {{{ ext{D}}^4} - {{ ext{d}}^4}} ight)$$
$$rac{pi }{{32}}left( {{{ ext{D}}^4} + {{ ext{d}}^4}} ight)$$
$$rac{pi }{{32}}left( {{{ ext{D}}^4} imes {{ ext{d}}^4}} ight)$$

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$$\frac{\pi
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}{{32}}\left( {{{\text{D}}^4} \times {{\text{d}}^4}} \right)$$" class="read-more button" href="https://exam.pscnotes.com/mcq/m-i-of-a-thin-ring-external-diameter-d-internal-diameter-d-about-an-axis-perpendicular-to-the-plane-of-the-ring-is-a-fracpi-64left-textd4-textd4-right-b/#more-6755">Detailed SolutionM.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is A. $$\frac{\pi }{{64}}\left( {{{\text{D}}^4} + {{\text{d}}^4}} \right)$$ B. $$\frac{\pi }{{32}}\left( {{{\text{D}}^4} – {{\text{d}}^4}} \right)$$ C. $$\frac{\pi }{{32}}\left( {{{\text{D}}^4} + {{\text{d}}^4}} \right)$$ D. $$\frac{\pi }{{32}}\left( {{{\text{D}}^4} \times {{\text{d}}^4}} \right)$$

2. Impulse can be obtained from a A. Force-displacement diagram B. Force-time diagram C. Velocity-time diagram D. Velocity-displacement diagram

Force-displacement diagram
Force-time diagram
Velocity-time diagram
Velocity-displacement diagram

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class="read-more button" href="https://exam.pscnotes.com/mcq/impulse-can-be-obtained-from-a-a-force-displacement-diagram-b-force-time-diagram-c-velocity-time-diagram-d-velocity-displacement-diagram/#more-6753">Detailed SolutionImpulse can be obtained from a A. Force-displacement diagram B. Force-time diagram C. Velocity-time diagram D. Velocity-displacement diagram

3. Pick up the incorrect statement from the following. In case of suspension bridge due to rise in temperature, A. Dip of the cable increases B. Length of the cable increases C. Dip of the cable decreases D. None of these

Dip of the cable increases
Length of the cable increases
Dip of the cable decreases
None of these

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the cable increases B. Length of the cable increases C. Dip of the cable decreases D. None of these" class="read-more button" href="https://exam.pscnotes.com/mcq/pick-up-the-incorrect-statement-from-the-following-in-case-of-suspension-bridge-due-to-rise-in-temperature-a-dip-of-the-cable-increases-b-length-of-the-cable-increases-c-dip-of-the-cable-decrease/#more-6752">Detailed SolutionPick up the incorrect statement from the following. In case of suspension bridge due to rise in temperature, A. Dip of the cable increases B. Length of the cable increases C. Dip of the cable decreases D. None of these

4. Pick up the incorrect statement from the following. In a simple harmonic motion A. Velocity is maximum at its mean position B. Velocity is minimum at the end of the stroke C. Acceleration is minimum at the end of the stroke D. Acceleration is zero at the mean position

Velocity is maximum at its mean position
Velocity is minimum at the end of the stroke
Acceleration is minimum at the end of the stroke
Acceleration is zero at the mean position

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incorrect statement from the following. In a simple harmonic motion A. Velocity
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is maximum at its mean position B. Velocity is minimum at the end of the stroke C. Acceleration is minimum at the end of the stroke D. Acceleration is zero at the mean position" class="read-more button" href="https://exam.pscnotes.com/mcq/pick-up-the-incorrect-statement-from-the-following-in-a-simple-harmonic-motion-a-velocity-is-maximum-at-its-mean-position-b-velocity-is-minimum-at-the-end-of-the-stroke-c-acceleration-is-minimum-a/#more-6751">Detailed SolutionPick up the incorrect statement from the following. In a simple harmonic motion A. Velocity is maximum at its mean position B. Velocity is minimum at the end of the stroke C. Acceleration is minimum at the end of the stroke D. Acceleration is zero at the mean position

5. The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth’s surface A. Uneven distribution of the gravitational field B. Gravity of the sun and the moon C. Aerodynamic forces D. None of these

Uneven distribution of the gravitational field
Gravity of the sun and the moon
Aerodynamic forces
None of these

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the gravitational field B. Gravity of the sun and the moon C. Aerodynamic forces D. None of these" class="read-more button"
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href="https://exam.pscnotes.com/mcq/the-following-factor-affects-the-orbit-of-a-satellite-up-to-an-altitude-of-720-km-from-the-earths-surface-a-uneven-distribution-of-the-gravitational-field-b-gravity-of-the-sun-and-the-moon-c-aero/#more-6750">Detailed SolutionThe following factor affects the orbit of a satellite up to an altitude of 720 km from the earth’s surface A. Uneven distribution of the gravitational field B. Gravity of the sun and the moon C. Aerodynamic forces D. None of these

6. A cylinder will slip on an inclined plane of inclination angle $$\theta $$ if the coefficient of static friction between plane and cylinder is A. less than $$\frac{1}{3}\tan \theta $$ B. less than $$\frac{2}{3}\tan \theta $$ C. less than $$\frac{1}{3}\sin \theta $$ D. less than $$\frac{2}{3}\sin \theta $$

less than $$rac{1}{3} an heta $$
less than $$rac{2}{3} an heta $$
less than $$rac{1}{3}sin heta $$
less than $$rac{2}{3}sin heta $$

Detailed SolutionA cylinder will slip on an inclined plane of inclination angle $$\theta $$ if the

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coefficient of static friction between plane and cylinder is A. less than $$\frac{1}{3}\tan \theta $$ B. less than $$\frac{2}{3}\tan \theta $$ C. less than $$\frac{1}{3}\sin \theta $$ D. less than $$\frac{2}{3}\sin \theta $$

7. A ball which is thrown upwards, returns to the ground describing a parabolic path during its flight A. Vertical component of velocity remains constant B. Horizontal component of velocity remains constant C. Speed of the ball remains constant D. Kinetic energy of the ball remains constant

Vertical component of velocity remains constant
Horizontal component of velocity remains constant
Speed of the ball remains constant
Kinetic energy of the ball remains constant

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ball remains constant D. Kinetic energy of the ball remains constant" class="read-more button" href="https://exam.pscnotes.com/mcq/a-ball-which-is-thrown-upwards-returns-to-the-ground-describing-a-parabolic-path-during-its-flight-a-vertical-component-of-velocity-remains-constant-b-horizontal-component-of-velocity-remains-const/#more-6748">Detailed SolutionA ball which is thrown upwards, returns to the ground describing a parabolic path during
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its flight A. Vertical component of velocity remains constant B. Horizontal component of velocity remains constant C. Speed of the ball remains constant D. Kinetic energy of the ball remains constant

8. When a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as A. Imaginary work B. Negative work C. Virtual work D. None of these

Imaginary work
Negative work
Virtual work
None of these

Detailed

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SolutionWhen a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as A. Imaginary work B. Negative work C. Virtual work D. None of these

9. The rotational velocity of a satellite is increased by 450 m per second if its launch is done from equator A. Eastward B. Northward C. Westward D. Southward

Eastward
Northward
Westward
Southward

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button" href="https://exam.pscnotes.com/mcq/the-rotational-velocity-of-a-satellite-is-increased-by-450-m-per-second-if-its-launch-is-done-from-equator-a-eastward-b-northward-c-westward-d-southward/#more-6746">Detailed SolutionThe rotational velocity of a satellite is increased by 450 m per second if its launch is done from equator A. Eastward B. Northward C. Westward D. Southward

10. To attain the synchronous orbit, the launch of a satellite, is done from a place A. On equator B. On 30° latitude C. On 45° latitude D. On the poles

On equator
On 30° latitude
On 45° latitude
On the poles

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of a satellite, is done from a place A. On equator B. On 30° latitude C. On 45° latitude D. On the poles" class="read-more button" href="https://exam.pscnotes.com/mcq/to-attain-the-synchronous-orbit-the-launch-of-a-satellite-is-done-from-a-place-a-on-equator-b-on-30a-latitude-c-on-45a-latitude-d-on-the-poles/#more-6745">Detailed SolutionTo attain the synchronous orbit, the launch of a satellite, is done from a place A. On equator B. On 30° latitude C. On 45° latitude D. On the poles
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