GATE XE (Engineering Sciences) 2014 - Question 63

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Section: Solid Mechanics | Marks: 2

To unload an item from a truck a crane boom is raised with a constant angular velocity of 1 rad/s relative to the cab and then the cab is rotated about a vertical axis with constant angular velocity of 0.5 rad/s. If the length of the boom (OP) is 10 m, the velocity of the tip (P) of the boom in m/s is

Figure for question 63, GATE XE (Engineering Sciences) 2014

  • A. √2 5 ൫−2𝑖𝑖 ො− 𝑗𝑗̂ + 2𝑘𝑘෠൯
  • B. √2 5 ൫−𝑖𝑖 ො− 2𝑗𝑗̂ + 𝑘𝑘෠൯
  • C. 5 √2 ൫−2𝑖𝑖 ො− 𝑗𝑗̂ + 2𝑘𝑘෠൯
  • D. 5 √2 ൫−𝑖𝑖 ො−2 𝑗𝑗̂ + 2𝑘𝑘෠൯

Answer: D. 5 √2 ൫−𝑖𝑖 ො−2 𝑗𝑗̂ + 2𝑘𝑘෠൯

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