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)
A shaft AC rotating at a constant speed carries a thin pulley of radius r = 0.4 m at the end C which drives a belt. A motor is coupled at the end A of the shaft such that it applies a torque M, about the shaft axis without causing any bending moment. The shaft is mounted on narrow frictionless bearings at A and B where AB = BC = L = 0.5 m. The taut and slack side tensions of the belt are T1 = 300 N and T2 = 100 N, respectively. The allowable shear stress for the shaft material is 80 MPa. The self-weights of the pulley and the shaft are negligible. Use the value of π available in the on-screen virtual calculator. Neglecting shock and fatigue loading and assuming maximum shear stress theory, the minimum required shaft diameter is mm (round off to 2 decimal places).
![GATE ME 2022 Set 2 Machine Design - Design of Brakes and Clutches Question 2 English](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1m06iffbw/36c3523a-d29c-440c-ae2c-05e88fdf7923/2ccc72b0-6132-11ef-b362-5bd272b833e9/file-jaoe38c1m06iffbx.webp?format=webp)
![GATE ME 2016 Set 2 Machine Design - Design of Brakes and Clutches Question 7 English](https://imagex.cdn.examgoal.net/1ZN61glvhSz6wk4dx/C0tGojfzQxtgCeT3MX4Ma48FtSIkI/bYsC74e5ETiF8SiAHhNRag/uploadfile.jpg)