GATE XE (Engineering Sciences) 2022 - Question 50

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Section: Solid Mechanics | Marks: 1

A particle is constrained to move at a constant speed on an inclined plane (ABCD) along the curved path shown in the figure. Edges AD and BC are parallel to the y axis. The inclined plane makes an angle 𝜃 with the 𝑥𝑦-plane. The velocity vector of the particle makes an angle 𝜙 with the dotted line which is parallel to edge AB. If the speed of the particle is 2 m/s, 𝜙ൌ30°, and 𝜃ൌ40°, then the 𝑧-component of the velocity of the particle in m/s is __________

Figure for question 50, GATE XE (Engineering Sciences) 2022

  • A. െ1.32
  • B. െ1.00
  • C. െ1.11
  • D. െ1.50

Answer: C. െ1.11

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