Question

The angle between two straight bars is ${30}^o.$

The bar B is rotated by ${45}^o$ in clockwise direction, whereas the bar A is rotated by ${105}^o$ in the anticlockwise direction. Find the final relative position of the bars.

• A. The subtended angle between both bars will be ${180}^o$.
• B. The subtended angle between both bars will be ${30}^o$.
• C. They are exactly oppostite to each other.
• D. None of the above.

Answer 1

Answer: (A), (C)

They are exactly oppostite to each other.

The initial angle between the bar is ${30}^o.$
Bar B is rotated ${45}^o$ in clockwise direction and bar A is rotated ${105}^o$ in anti-clockwise direction.

Hence, their respective angle of rotation will get added with ${30}^o.$
Final subtended angle $={30}^o+{45}^o+{105}^o={180}^o$


Hence, their relative positions are exactly opposite to each other.