If 30 m is the height difference between the two rollers and 60 m is the distance between the centres of the rollers, what is the angle formed between the upper surface of a sine bar and the surface plate (datum)?

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RRB JE CBT 2 (Mechanical Engineering) ReExam Official Paper (Held On: 04 Jun, 2025)

Answer 1

Concept:

The angle formed by a sine bar is calculated using the formula:

\( \sin(\theta) = \frac{h}{L} \), where:

h = height difference between rollers, L = distance between centers of rollers

Given:

h = 30 mm, L = 60 mm

Calculation:

\( \sin(\theta) = \frac{30}{60} = 0.5 \Rightarrow \theta = \sin^{-1}(0.5) = 30^\circ \)

Hence, the angle formed is: 30°

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