GATE ME concept:friction PYQs & Answers

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.

Topic practice 13 questionsPage 1 of 2

A block of 50 kg mass is on an inclined plane. The block is connected to another hanging mass M by an inextensible massless string through two massless pulleys as shown in the figure below. The coefficient of static friction between the block and the inclined plane is 0.3. Neglecting pulley friction, the minimum value of M required to start the upward motion of the block is ______ kg (rounded off to 1 decimal place).

Diagram for Mechanical Engineering question 48

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A three-hinge arch ABC in the form of a semi-circle is shown in the figure. The arch is in static equilibrium under vertical loads of

kN and

kN. Neglect friction at all the hinges. The magnitude of the horizontal reaction at B is ______ kN (rounded off to 1 decimal place).

Diagram for Mechanical Engineering question 58

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A band brake shown in the figure has a coefficient of friction of 0.3. The band can take a maximum force of 1.5 kN. The maximum braking force (F) that can be safely applied is ______ N (rounded off to the nearest integer).

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The braking system shown in the figure uses a belt to slow down a pulley rotating in the clockwise direction by the application of a force

. The belt wraps around the pulley over an angle

degrees. The coefficient of friction between the belt and the pulley is 0.3. The influence of centrifugal forces on the belt is negligible.

During braking, the ratio of the tensions

in the belt is equal to ________ . (Rounded off to two decimal places)

Take

Diagram for Mechanical Engineering question 34

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The plane of the figure represents a horizontal plane. A thin rigid rod at rest is pivoted without friction about a fixed vertical axis passing through O. Its mass moment of inertia is equal to 0.1 kg·cm

about O. A point mass of 0.001 kg hits it normally at 200 cm/s at the location shown, and sticks to it immediately after the impact, the angular velocity of the rod is ________ rad/s (in integer).

Diagram for Mechanical Engineering question 31

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The lengths of members BC and CE in the frame shown in the figure are equal. All the members are rigid and lightweight, and the friction at the joints is negligible. Two forces of magnitude

are applied as shown, each at the mid-length of the respective member on which it acts. Which one or more of the following members do not carry any load (force)?

Diagram for Mechanical Engineering question 47

Your answerSelect all correct options. You can choose more than one.

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A structure, along with the loads applied on it, is shown in the figure. Self-weight of all the members is negligible and all the pin joints are friction-less. AE is a single member that contains pin C. Likewise, BE is a single member that contains pin D. Members GI and FH are overlapping rigid members. The magnitude of the force carried by member CI is ________ kN (in integer).

Diagram for Mechanical Engineering question 49

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Two rigid massless rods PR and RQ are joined at frictionless pin-joint R and are resting on ground at P and Q, respectively, as shown in the figure. A vertical force

acts on the pin R as shown. When the included angle

, the rods remain in static equilibrium due to Coulomb friction between the rods and ground at locations P and Q. At

, impending slip occurs simultaneously at points P and Q. Then the ratio of the coefficient of friction at Q to that at P (

) is _________ (round off to two decimal places).

Diagram for Mechanical Engineering question 50

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A cylindrical disc of mass

kg and radius

m was spinning at

rad/s when it was placed on a flat horizontal surface and released (refer to the figure). Gravity

acts vertically downwards as shown in the figure. The coefficient of friction between the disc and the surface is finite and positive. Disregarding any other dissipation except that due to friction between the disc and the surface, the horizontal velocity of the center of the disc, when it starts rolling without slipping, will be ________ m/s (round off to 2 decimal places).

Diagram for Mechanical Engineering question 51

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A block of negligible mass rests on a surface that is inclined at 30° to the horizontal plane as shown in the figure. When a vertical force of 900 N and a horizontal force of 750 N are applied, the block is just about to slide.

The coefficient of static friction between the block and surface is __________ (round off to two decimal places).

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GATE ME concept:friction PYQs

How to practice concept:friction

Question 48

Question 58

Question 59

Question 34

Question 31

Question 47

Question 49

Question 50

Question 51

Question 51