Machine Design
A spring of stiffness 1000 N/m is stretched initially by 100 mm from the undeformed position. The work required to stretch it by another 100 mm is

10 N-m
15 N-m
5 N-m
7 N-m

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Machine Design
The angle of twist of shaft is

Inversely proportional to (shaft diameter)⁴
Inversely proportional to (shaft diameter)²
Directly proportional to (shaft diameter)²
Directly proportional to (shaft diameter)⁴

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