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BARC 2019: Engineering Mechanics Nuclear Quiz-3

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Question 1

With what acceleration should the box shown in the figure below descend so that the block of mass M exerts a force on the floor of the box?

Question 2

The magnitudes of vectors P, Q and R are 100 kN, 250 kN and 150 kN, respectively as shown in the figure.

The respective values of the magnitude (in kN) and the direction (with respect to the x-axis) of the resultant vector are

Question 3

A rigid member ACB is shown in the figure. The member is supported at A and B by pinned and guided roller supports, respectively. A force P acts at C as shown. Let RAh and RBh be the horizontal reactions at supports A and B, respectively, and RAv be the vertical reaction at support A. Self- weight of the member may be ignored.
Which one of the following sets gives the correct magnitudes of and ?

Question 4

A bullet of weight 1.4g enters a wooden partition block at a velocity of 955 m/s and 0.003s after entering the block. Determine the length penetration of bullet.

Question 5

A particle of mass 2 kg is travelling at a velocity of 1.5 m/s. A force f(t)=3t2 (in N) is applied to it in the direction of motion for a duration of 2 seconds, where t denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of
the force is________

Question 6

Block A weighing 200 kg resting on the rough floor supports block B weighing 100 kg as shown in the figure. Both the blocks are connected with a rope passing over a smooth pulley. Find the force P required to impending motion. (Take  and coefficient of friction = 0.3)

Question 7

A body of mass m is suspended by two strings making angles with horizontal. The tension T2 in the string is

Question 8

A box of weight 100 kN shown in the figure is to be lifted without swinging. If all forces are coplanar, the magnitude and direction (θ) of the force (F) with respect to x–axis should be

Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\Civil-Engineering-2014_files\image124.png

Question 9

A thin string of negligible mass with one end fixed to the roof is wounded around a circular disc of radius 2m and mass 10 kg as shown in the figure. The disc rolls vertically down under the action of its own weight. Considering acceleration due to gravity=10m/s2, the tension in the string is

Question 10

The ultimate collapse load (P) in terms of plastic moment Mp by kinematic approach for a propped cantilever of length L with P acting at its mid–span as shown in the figure, would be

Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\Civil-Engineering-2014_files\image042.jpg
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