Question:
The assembly shown below has three teethed circular objects (Pinions) and two teethed flat objects (Racks), which are perfectly mating with each other. Pinions can only rotate clockwise or anti-clockwise staying at its own center. Racks can translate towards the left (\(\leftarrow\)) or the right (\(\rightarrow\)) direction. If the object \(A\) (Rack) is translating towards the right (\(\rightarrow\)) direction, the correct statement among the following is:
\includegraphics[width=0.5\linewidth]{9.png}
The assembly shown below has three teethed circular objects (Pinions) and two teethed flat objects (Racks), which are perfectly mating with each other. Pinions can only rotate clockwise or anti-clockwise staying at its own center. Racks can translate towards the left (\(\leftarrow\)) or the right (\(\rightarrow\)) direction. If the object \(A\) (Rack) is translating towards the right (\(\rightarrow\)) direction, the correct statement among the following is:
\includegraphics[width=0.5\linewidth]{9.png}
\includegraphics[width=0.5\linewidth]{9.png}
Show Hint
For gear-rack systems, analyze the movement of each component step by step, considering the direction of rotation or translation.
Updated On: Jan 23, 2025
- Object \(B\) translates towards the right direction.
- Object \(B\) translates towards the left direction.
- Object \(R\) rotates in the anticlockwise direction.
- Object \(Q\) rotates in the clockwise direction.
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1:
Understanding the Mechanism Racks and Pinions: A rack is a linear gear with teeth, and a pinion is a circular gear. When the rack moves, it causes the connected pinion to rotate. The direction of rotation of the pinion is always opposite to the movement of the rack. \section*{System Analysis} Object A moves to the right (→):
This movement causes Object P (the pinion connected to it) to rotate clockwise. Object P rotates clockwise:
As Object P is connected to a rack (Object B), its clockwise rotation drives Object B to move to the left (←). This happens because the pinion's rotation opposes the rack's movement direction. Object B moves to the left (←):
The leftward movement of Object B makes Object Q rotate in an anticlockwise direction. Object Q rotates anticlockwise:
Finally, the anticlockwise rotation of Object Q causes Object R to move to the right (→). Hence, the correct option is (B).
Was this answer helpful?
0
0
Top Questions on Mathematical Logic
- The sum of the following infinite series is: \[ \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} + \frac{1}{5!} + \dots \]
- GATE CE - 2025
- General Aptitude
- Mathematical Logic
There are nine species of Impatiens (balsams) found in laterite plateaus of the northern Western Ghats, each with a distinct colour. If a plateau has exactly 6 species, then the number of possible colour combinations in the plateau is ….. (Answer in integer).
- GATE EY - 2024
- General Aptitude
- Mathematical Logic
- In linear regression, mean squared regression (effect variance) divided by mean squared error (error variance) is called the:
- GATE EY - 2024
- General Aptitude
- Mathematical Logic
- A researcher measures the heights of 200 randomly selected individuals of a tree species in a forest. Which one of the following is NOT a measure of variability in the sample?
- GATE EY - 2024
- General Aptitude
- Mathematical Logic
- For positive integers \( p \) and \( q \), with \( \frac{p}{q} \neq 1 \), \( \left( \frac{p}{q} \right)^q = p^{q-1 \). Then, which of the following is true?}
- GATE EY - 2024
- General Aptitude
- Mathematical Logic
View More Questions
Questions Asked in GATE EE exam
- Instrument(s) required to synchronize an alternator to the grid is/are:
- GATE EE - 2025
- Electrical Energy, Power
- The input voltage \( v(t) \) and current \( i(t) \) of a converter are given by, \[ v(t) = 300 \sin(\omega t) \, {V} \] \[ i(t) = 10 \sin\left(\omega t - \frac{\pi}{6}\right) + 2 \sin\left(3\omega t + \frac{\pi}{6}\right) + \sin\left(5\omega t + \frac{\pi}{2}\right) \, {A} \] where \( \omega = 2\pi \times 50 \) rad/s. The input power factor of the converter is closest to:
The relationship between two variables \( x \) and \( y \) is given by \( x + py + q = 0 \) and is shown in the figure. Find the values of \( p \) and \( q \). Note: The figure shown is representative.
- GATE EE - 2025
- Algebra
- Spheres of unit diameter are centered at \( (l, m, n) \), where \( l, m, \) and \( n \) take every possible integer value. The distance between two spheres is computed from the center of one sphere to the center of another sphere. For a given sphere, \( x \) is the distance to its nearest sphere and \( y \) is the distance to its next nearest sphere. The value of \( \frac{y}{x} \) is:
- GATE EE - 2025
- Geometry
- A DC series motor with negligible series resistance is running at a certain speed driving a load, where the load torque varies as the cube of the speed. The motor is fed from a 400 V DC source and draws 40 A armature current. Assume a linear magnetic circuit. The external resistance in ohms that must be connected in series with the armature to reduce the speed of the motor by half is closest to:
- GATE EE - 2025
- Instrument transformers
View More Questions