GATE Prev Year : Engineering Mechanics Test-8 for ESE & GATE ME Exams

Question 1

A straight rod of length L(t), hinged at one end and freely extensible at the other end, rotates through an angle θ(t) about the hinge. At time t, L(t) = 1 m,

(t) = 1 m/s,

rad and θ(t) = 1 rad/s. The magnitude of the velocity at the other end of the rod is

Question 2

A weight of 500 N is supported by two metallic ropes as shown in the figure. The values of tensions T₁ and T₂ are respectively

Question 3

A band brake consists of a lever attached to one end of the band. The other end of the band is fixed to the ground. The wheel has a radius of 200 mm and the wrap angle of the band is 270 °. The braking force applied to the lever is limited to 100N, and the coefficient of friction between the band and the wheel is 0.5. No other information is given.
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The maximum tension that can be generated in the band during braking is

Question 4

A band brake consists of a lever attached to one end of the band. The other end of the band is fixed to the ground. The wheel has a radius of 200 mm and the wrap angle of the band is 270 °. The braking force applied to the lever is limited to 100N, and the coefficient of friction between the band and the wheel is 0.5. No other information is given.
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The maximum wheel torque that can be completely braked is

Question 5

Bodies 1 and 2 shown in the figure have equal mass m. All surfaces are smooth. The value of force P required to prevent sliding of body 2 on body 1 is

Question 6

A frame is subjected to a load P as shown in the figure. The frame has a constant flexural rigidity EI. The effect of axial load is neglected. The deflection at point A due to the applied load P is