Static and Dynamic Force Analysis Quiz
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Questions and Answers

What is the purpose of dynamic force analysis?

  • Studying the equilibrium positions
  • Determining the accelerating couple
  • Calculating the inertia force
  • Evaluating input forces or torques (correct)

How is the inertia force defined?

  • An imaginary force bringing a rigid body to an equilibrium position
  • Mathematically expressed as F x h
  • Opposite in magnitude and direction to the accelerating force (correct)
  • Equal to the accelerating couple in magnitude and direction

What is the relationship between inertia torque and accelerating couple?

  • They have the same magnitude and direction
  • They are mathematically expressed as F x h
  • Inertia torque is equal to the accelerating couple in direction
  • Opposite in magnitude but equal in direction (correct)

How can a system of forces acting on a rigid body be reduced?

<p>To a single resultant force and a couple (A)</p> Signup and view all the answers

What creates a couple on a rigid body?

<p>Two equal and opposite forces acting through the center of gravity (B)</p> Signup and view all the answers

What is the inertia torque?

<ul> <li>Imaginary torque bringing a rigid body to equilibrium (D)</li> </ul> Signup and view all the answers

What term describes the distance a screw thread advances axially in one turn?

<p>Lead (C)</p> Signup and view all the answers

Which type of thread is stronger and offers more resistance to motion than square threads?

<p>V-threads (D)</p> Signup and view all the answers

What is the principle on which a screw jack works similar to?

<p>Inclined plane (A)</p> Signup and view all the answers

What is the curve traced by a particle moving along a screw thread at a uniform speed?

<p>Helix (D)</p> Signup and view all the answers

Which type of screw threads are generally used for tightening pieces like bolts and nuts together?

<p>V-threads (B)</p> Signup and view all the answers

What term refers to the difference between the top and bottom surfaces of a screw thread?

<p>Depth of thread (D)</p> Signup and view all the answers

What does D-Alembert's principle state about the resultant force and inertia force?

<p>They are in equilibrium. (C)</p> Signup and view all the answers

What is the equivalent static problem obtained from reducing a dynamic problem using D-Alembert's principle?

<p>Reduced to a single resultant force acting on the body. (D)</p> Signup and view all the answers

Which type of screw threads are used in screw jacks and vice screws?

<p>Square threads (B)</p> Signup and view all the answers

What does the equation F + FI = 0 represent in D-Alembert's principle?

<p>Resultant force equals reversed effective force. (A)</p> Signup and view all the answers

What is the main function of a screw jack?

<p>To lift or lower a load (A)</p> Signup and view all the answers

In the context of a screw jack, what does the coefficient of friction µ represent?

<p>The friction between the screw and nut (D)</p> Signup and view all the answers

What is the relationship between the effort applied (P) and the load (W) in a screw jack?

<p>$P = W \times \tan(a+f)$ (C)</p> Signup and view all the answers

When using a V-thread, how does the normal reaction between the screw and nut differ compared to a square threaded screw?

<p>It is equal to the axial load W (B)</p> Signup and view all the answers

In a journal bearing, what happens when there is no lubrication present?

<p>A greasy friction occurs with line contact (D)</p> Signup and view all the answers

What is the purpose of a thrust collar in relation to a screw jack?

<p>To prevent the load from rotating with the screw (A)</p> Signup and view all the answers

How does the total torque required to rotate a screw change when an effort P1 is applied at the end of a lever?

<p>$P1$ increases the torque required (A)</p> Signup and view all the answers

What force does a screw jack leverage to lift or lower a load?

<p>$F = P \times \cos(a)$ (D)</p> Signup and view all the answers

How does friction change between a screw and nut when using a V-thread instead of a square threaded screw?

<p><code>$f$ increases due to increased surface area</code> (C)</p> Signup and view all the answers

What is the role of the frictional force F in relation to the shaft rotation?

<p>Acts at the circumference of the shaft to rotate it in the opposite direction (D)</p> Signup and view all the answers

What must be true for the resultant force acting on the shaft for uniform motion?

<p>It must be zero (C)</p> Signup and view all the answers

In terms of resultant turning moment on the shaft, what condition is necessary for uniform motion?

<p>It must be zero (D)</p> Signup and view all the answers

What is the relationship between T (frictional torque) and ø according to the provided text?

<p>$T = W \times r \tan{\theta}$ (C)</p> Signup and view all the answers

What is used to take the axial thrust of rotating shafts like those in ships and turbines?

<p>Ball and roller thrust bearings (A)</p> Signup and view all the answers

What condition is assumed in the study of bearing friction as per the text?

<p>The pressure is uniformly distributed throughout the bearing surface (B)</p> Signup and view all the answers

When a vertical shaft rotates in a flat pivot bearing, where does the sliding friction occur?

<p>Along the surface of contact between the shaft and bearing (C)</p> Signup and view all the answers

'Truncated or trapezoidal pivot' terminology refers to what kind of pivot?

<p>&quot;Pivot with a truncated cone as bearing&quot; (A)</p> Signup and view all the answers

'Foot step bearing' terminology commonly refers to which type of pivot bearing?

<p>&quot;Flat pivot bearing&quot; (D)</p> Signup and view all the answers

What is considered when there is uniform pressure in a flat pivot bearing?

<p>Wear rate depends on velocity and intensity of pressure. (C)</p> Signup and view all the answers

What is another name for collar bearings?

<p>Thrust bearings (B)</p> Signup and view all the answers

In the context of collar bearings, what does the symbol r1 represent?

<p>External radius of the collar (B)</p> Signup and view all the answers

What does the coefficient of friction of 0.12 refer to in the context of collar bearings?

<p>Intensity of pressure (B)</p> Signup and view all the answers

When considering uniform wear in collar bearings, what does the total load transmitted to the collar represent?

<p>Total frictional torque on the collar (B)</p> Signup and view all the answers

What does the symbol d1 = 600 mm or r1 = 300 mm represent in Example 1?

<p>External diameter of the collars (D)</p> Signup and view all the answers

What does the intensity of pressure of 0.35 N/mm2 refer to in Example 2?

<p>Load carried by the shaft (B)</p> Signup and view all the answers

What is the assumption made about the rate of wear in bearings?

<p>It is proportional to the product of intensity of pressure and velocity. (B)</p> Signup and view all the answers

What is the formula for power lost in friction given the coefficient of friction and load?

<p>$P = \mu \times W \times N$ (B)</p> Signup and view all the answers

In the context of bearings, what does 'dl' represent?

<p>The length of the ring along the cone. (D)</p> Signup and view all the answers

What does 'C/r' represent in the context of uniform wear in bearings?

<p>A measure of intensity of pressure (A)</p> Signup and view all the answers

What is the formula for total torque acting on a conical pivot bearing?

<p>$T = \int_{r1}^{r2} pn\cdot A,dr$ (B)</p> Signup and view all the answers

In a frustum bearing, what does '2pC.dr' represent?

<p>The load transmitted to the ring. (C)</p> Signup and view all the answers

What does '301.76' represent in calculating the power absorbed in friction?

<p>$\mu$ (coefficient of friction) (B)</p> Signup and view all the answers

How is 'dl' related to 'dr' in bearing calculations?

<p>'dl' is a function of 'dr'. (D)</p> Signup and view all the answers

What information does 'pn × 2pr.drcosec a' provide?

<p>Normal load acting on the ring. (A)</p> Signup and view all the answers

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