Engineering Sciences
GATE XE topic:mechanics-rigid-bodies PYQs
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Questions 1–10 of 72. Imported answers require independent review unless marked reviewed.
Question 68
Open questionXE-DMCQ1 markNeeds review
Identify the zero-force member in the truss structure as shown in the figure.
Your answerChoose one option.
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Open questionXE-DMSQ1 markNeeds review
A car is moving on a horizontal surface in a straight line with a constant velocity of 3 m/s. A ball is thrown vertically upwards at time
from the top of the moving car with a velocity of 20 m/s. The acceleration due to gravity is 10 m/s
.At what value(s) of time
in second(s), the ball is at a height of 15 m from the top of the moving car?Your answerSelect all correct options. You can choose more than one.
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Open questionXE-DNAT1 markNeeds review
A cart of weight (
) 5 kN, stands on an inclined smooth surface at an angle (
) of 45° as shown in the figure. The cart is maintained in equilibrium by a horizontal force F acting at point S.The value of F is _____ kN (in integer).
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Open questionXE-DMCQ2 marksNeeds review
The force (F) acting on the block, as shown in the figure is 2 N. The stiffness of the spring (k) is 100 N/m.
Assume that the block is in static equilibrium and its mass is negligible.
If the static deflection of the spring (
) is 0.01 m, which one of the following is the corresponding angle (
) in radians? 
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Open questionXE-DMCQ2 marksNeeds review
Which one of the following options is the CORRECT absolute value of the bending moment at R in the frame as shown in the figure?
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Open questionXE-DMCQ2 marksNeeds review
The point Q of a thin rigid equilateral triangular plate PQR is constrained to move in a horizontal channel. Point P of the same plate is constrained to move in the vertical channel as shown in the figure. The length of the side PQ is 4 m.
At the instant when the angle
rad and the velocity of point Q in the positive x direction is 20 m/s, which one of the following options is the magnitude of the angular velocity vector of the line SR on the plate in rad/s? 
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Open questionXE-DNAT2 marksNeeds review
A motorized pulley of diameter 200 mm is used to transfer a block of mass 100 kg from platform 1 to platform 2 using a ramp kept at an inclination of 30° as shown in the figure. The coefficient of static friction between the block and the ramp is 0.2. The acceleration due to gravity is 10 m/s
.Assume the rope to be parallel to the ramp surface.
The minimum torque required by the motor to transport the block uphill is ____ Nm (rounded off to two decimal places).
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Open questionXE-DMCQ1 markNeeds review
A ball of mass
approaches a stationary ball of mass
with horizontal velocity of 2 m/s from left to right. After a perfectly elastic central collision, the horizontal velocity of the heavier ball is 1 m/s from left to right.Which one of the following statements, regarding the velocity (in m/s) of the lighter ball after impact, is TRUE?
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Open questionXE-DMCQ1 markNeeds review
Two cars P and Q are travelling on a straight path and are 60 m apart as shown in the figure; Car P is moving with a constant velocity of 36 kmph, while car Q is moving at a constant velocity of 18 kmph. At this instant, the driver in car P applies the brake and collision occurs with car Q after 30 seconds.
Assuming uniform deceleration due to braking, which one of the following is the CORRECT velocity (in m/s) of the car P just before the collision?
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Open questionXE-DMCQ2 marksNeeds review
Consider two blocks, P of mass 100 kg and Q of mass 150 kg, resting as shown in the figure. The angle
. The coefficient of friction between the two blocks is 0.2. Assume no friction exists at all other interfaces. The minimum force required to move the block P upward is W.Which one of the following options is closest to the CORRECT magnitude of W (in N)?
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