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GATE 2020 : Engineering Mechanics Rapid Quiz (App update required to attempt this test)

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Question 1

The figure shows a simply supported truss with point loads attached as shown. The magnitude of force in the member GH is _________ kN

Question 2

A truck driver was driving at a speed of 30 kmph. He is transporting a box of 80kg.He applies brake causing the truck to come to halt instantly. If the coefficient of friction of the box is 0.25, the distance it would skid till it comes to halt;

Question 3

Three masses are connected to a rotating shaft supported on bearings A and B as shown in the figure. The system is in a space where the gravitational effect is absent. Neglect the mass of shaft and rods connecting the masses. For m1=10kg, m2=5kg and m3=2.5 kg and for a shaft angular speed of 1000 radian/s, the magnitude of the bearing reaction (in N) at location B is _____

Question 4

Two vectors acting at 1300 when joined head to tail in anticlockwise direction have their resultant making an angle α to the first vector. The magnitude of the first vector is 50 units. If the resultant becomes perpendicular to the first vector then determine the value of the second vector(magnitude ).

Question 5

A light spring of spring constant 50 N/m is kept compressed between two blocks of mass 10 kg and 20 kg on a smooth horizontal surface as shown in fig. After release, the blocks acquire velocities in opposite direction and spring losses contact with the blocks when it acquires natural length. If the spring was initially compressed 100 mm, the final speed of 20 kg block (in m/s) is

Question 6

A small ball of mass 1 kg moving with a velocity of 12 m/s undergoes a direct central impact with a stationary ball of mass 2 kg. The impact is perfectly elastic. The speed (in m/s) of 2 kg mass ball after the impact will be________
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