For a ball bearing, the fatigue life in millions of revolutions is given by $L = \left(\frac{C}{P}\right)^n$, where $P$ is the constant applied load and $C$ is the basic dynamic load rating. Which one of the following statements is TRUE?
Which one of the following failure theories is the most conservative design approach against fatigue failure?
A solid massless cylindrical member of 50 mm diameter is rigidly attached at one end, and is subjected to an axial force $P = 100$ kN and a torque $T = 600$ N.m at the other end as shown. Assume that the axis of the cylinder is normal to the support.
Considering distortion energy theory with allowable yield stress as $300$ MPa, the factor of safety in the design is _____ (rounded off to 1 decimal place).
![GATE ME 2024 Machine Design - Design of Brakes and Clutches Question 6 English](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lx72vokw/0ed527de-0813-4e3f-be56-455ae943b39e/81565300-261d-11ef-a279-4f9760cfcb83/file-6y3zli1lx72vokx.png?format=png)
A band brake shown in the figure has a coefficient of friction of 0.3. The band can take a maximum force of 1.5 kN. The maximum braking force (F) that can be safely applied is _______ N (rounded off to the nearest integer).
![GATE ME 2024 Machine Design - Design of Brakes and Clutches Question 5 English](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lx734048/844cc7c7-2387-45ed-808a-9594a7e03c0e/68b8f180-261e-11ef-a279-4f9760cfcb83/file-6y3zli1lx734049.png?format=png)