GATE XE 2022 Paper 1 — page 24

Questions 70–72 of 175. Imported answers require review unless explicitly marked reviewed.

End

of the 2 m long rigid rod

is constrained to move horizontally in the slot shown in the figure and has a velocity of 1.0

m/s. The angular velocity of the rod at the instant shown is 2 rad/s. The unit vectors along

and

directions are denoted respectively as

and

. The velocity of point

in m/s is then given by

Diagram for Engineering Sciences question 70

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The assembly of four masses connected by rigid mass-less rods is kept on a smooth horizontal floor as shown in the figure. Under the applied force

, the magnitude of angular acceleration of the assembly at the instant shown is

Diagram for Engineering Sciences question 71

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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

axis. The inclined plane makes an angle

with the

-plane. The velocity vector of the particle makes an angle

with the dotted line which is parallel to edge

. If the speed of the particle is 2 m/s,

, and

, then the

-component of the velocity of the particle in m/s is __________

Diagram for Engineering Sciences question 72

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2022 · Paper 1

Question 70

Question 71

Question 72