GATE XE Mechanics of rigid bodies PYQs & Answers — Page 7

Home
GATE
Engineering Sciences
Topics
Mechanics of rigid bodies

Questions 61–70 of 72. Imported answers require independent review unless marked reviewed.

Topic practice 72 questionsPage 7 of 8

Two sliders

and

connected by a rigid link of length

, slide in two mutually perpendicular and frictionless guide-ways. At a particular instance, the slider

is moving in the downward direction with a speed of 0.05 m/s. At this instance, the magnitude of the velocity of slider

(in m/s) is ……[up to two decimal places]

Diagram for Engineering Sciences question 18

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A rigid rod

, in the form of a quarter-circular arc of radius

, is hinged at

and supported by a roller at

. A vertical force

is applied at the end

of the bar. For the reactions at

and

to be equal in magnitude, the value of the angle

(in degrees) is ……… [up to two decimal places].

Diagram for Engineering Sciences question 20

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A marble of mass

slides along a frictionless linear slide

kept in a vertical plane. The marble is released from point

with zero initial velocity, and it reaches point

under the action of gravity. Assuming the acceleration due to gravity to be 9.81 m/s

, the speed (in m/s) of the marble when it just reaches point

is……..[up to two decimal places].

Diagram for Engineering Sciences question 21

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A horizontal force 10 N is applied at support

on the frame as shown in figure. Considering only bending deformation, the vertical reaction (in N) at support

is ……… [up to one decimal place]

Diagram for Engineering Sciences question 22

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

In the truss shown, a mass

is hung from the node J. The magnitude of net force (in Newtons) transferred by the truss EFGHIJ onto the truss JKLMNO at the node J is ________.

Assume acceleration due to gravity,

Diagram for Engineering Sciences question 56

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A ball moves along a planar frictionless slot as shown. Which one of the paths shown closely matches the path taken by the ball after it exits the slot at E?

Diagram for Engineering Sciences question 57

Your answerChoose one option.

path m

path n

path p

path q

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A rod EF moving in a plane has velocity

at E and

at F that are parallel to each other. Which of the following CANNOT be true?

Diagram for Engineering Sciences question 58

Your answerChoose one option.

Both

and

are perpendicular to EF.

Magnitude of

is equal to the magnitude of

and the angular velocity of EF is zero.

The velocity

is not perpendicular to EF and the angular velocity of EF is nonzero.

Magnitude of

is not equal to the magnitude of

and the angular velocity of EF is nonzero.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Two rigid blocks, of masses 10kg and 15kg, are arranged one on top of the other and placed on a horizontal rough surface as shown. The blocks are connected to each other through an inextensible cable passing over a frictionless pulley. The coefficients of static friction between the blocks and also between the bottom block and the surface are all equal to 0.3. The force

(in Newtons) needed to set the blocks in motion towards right is _________. (Assume acceleration due to gravity

Diagram for Engineering Sciences question 66

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A truss system EFGH shown below is built using members EF, GH and FH of the same cross-sectional area 10mm² and member FG of cross-sectional area 20mm². The total strain energy stored (in Nm) in the system due to a force

acting at F is __________. Assume elastic deformations and members are made of steel with elastic modulus of 200GPa.

Diagram for Engineering Sciences question 67

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A rigid frame grips on to a steel wall as shown using a powerful magnet at the top support G and with a roller support at E. EF is horizontal. A man stands on the platform attached to the frame 1m away from the wall as shown. Assume the frame and magnet assembly to be of negligible weight and the mass of the man to be 80kg. The magnitude of the reaction (in Newtons) exerted by the frame onto the steel wall due to the weight of the man is __________. The magnetic force of attraction of the magnet at no load condition is 1kN. Magnet can be assumed to be small enough that it offers negligible moment resistance. Assume acceleration due to gravity,

Diagram for Engineering Sciences question 68

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE XE Mechanics of rigid bodies PYQs

Question 18

Question 20

Question 21

Question 22

Question 56

Question 57

Question 58

Question 66

Question 67

Question 68