Engineering Sciences
GATE XE concept:friction PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:friction
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–10 of 13. Imported answers require independent review unless marked reviewed.
Question 82
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).
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 75
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)?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 86
Open questionXE-DNAT2 marksNeeds review
An electric motor’s rotor is spinning at 1500 rpm when its load and power are cut-off. The rotor which has a mass of 50 kg and a radius of gyration of 200 mm, then coasts down to rest. Due to kinetic friction, a constant torque of 10 Nm acts on the rotor as it coasts down. The number of revolutions executed by the rotor before it comes to rest is ____ (in integer).
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 87
Open questionXE-DNAT2 marksNeeds review
A square block of side 1 m and mass 10 kg is resting on a horizontal surface. The coefficient of static friction between the block and the surface is 0.75. A horizontal force P acts on the block as shown in the figure. The force P is gradually increased from zero until the block either slides or topples. The maximum value of
(in m, rounded off to two decimal places) for which the block slides without toppling is _____. Take the acceleration due to gravity
m/s
.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 82
Open questionXE-DNAT2 marksNeeds review
A block of mass m = 10 kg is lying on an inclined plane PQ. The mass is restrained from sliding down the inclined plane by a force F. The coefficient of friction between the block and the inclined plane is 0.3. Take the acceleration due to gravity as 10 m/s
. The smallest force F (in N) required to prevent the block from sliding down is_____(rounded off to one decimal place). 
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 80
Open questionXE-DMCQ2 marksNeeds review
A mass
kg is attached to a spring as shown in the figure. The coefficient of friction between the mass and the inclined plane is 0.25. Assume that the acceleration due to gravity is 10 m/s
and that static and kinetic friction coefficients are the same. Equilibrium of the mass is impossible if the spring force is
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 83
Open questionXE-DNAT2 marksNeeds review
A sphere
of mass
is thrown into the air at 50 m/s along a direction
up from the horizontal. At the topmost point of its trajectory, it has a central (non-oblique) collision with another sphere
which is at rest on top of a vertical pole. Sphere
has a mass of
. Acceleration due to gravity is 10 m/s
. Neglect contact friction and air-resistance. If the coefficient of restitution is 0.3, then the speed (in m/s) of sphere
immediately after the collision is ________ (rounded off to one decimal place)Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 84
Open questionXE-DNAT2 marksNeeds review
The truck shown in the figure is moving on a horizontal road at a speed of 20 m/s. It is carrying a box of mass 100 kg, which is simply placed on the truck platform. The coefficient of friction between the truck platform and the box is 0.25. Take acceleration due to gravity as 10 m/s
. Assume uniform deceleration during braking, and the coefficients of static and kinetic friction to be the same. The shortest distance in meters in which the truck can be brought to rest without the box slipping is
______(round off to the nearest integer)
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 1
Open questionXE-DMCQ1 markNeeds review
Which among the following statements is true for a body moving on a dry surface under the action of applied forces?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 12
Open questionXE-DMCQ2 marksNeeds review
The block of mass m = 10 kg is held in place along the incline by the force F applied via a pulley arrangement as shown. The coefficient of static friction between the block and incline is 0.65. The range of F (in N) for which the block will remain at rest is (use acceleration due to gravity g = 10 m/s²)
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer