Mechanical Engineering
GATE ME topic:theory-machines PYQs
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Questions 11–20 of 46. Imported answers require independent review unless marked reviewed.
Question 45
Open questionMEMCQ2 marksNeeds review
A CNC machine has one of its linear positioning axes as shown in the figure, consisting of a motor rotating a lead screw, which in turn moves a nut horizontally on which a table is mounted. The motor moves in discrete rotational steps of 50 steps per revolution. The pitch of the screw is 5 mm and the total horizontal traverse length of the table is 100 mm. What is the total number of controllable locations at which the table can be positioned on this axis?
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The figure shows a schematic of a simple Watt governor mechanism with the spindle O
O
rotating at an angular velocity
about a vertical axis. The balls at P and S have equal mass. Assume that there is no friction anywhere and all other components are massless and rigid. The vertical distance between the horizontal plane of rotation of the balls and the pivot O
is denoted by
. The value of
mm at a certain
. If
is doubled, the value of
will be ________ mm.
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A planar four-bar link mechanism with 3 revolute kinematic pairs and 1 prismatic kinematic pair is shown in the figure, where AB ⟂ CE and FD ⟂ CE. The T-shaped link CDEF is constructed such that the slider B can cross the point D, and CE is sufficiently long. For the given lengths as shown, the mechanism is
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In the configuration of the planar four-bar mechanism at a certain instant as shown in the figure, the angular velocity of the 2 cm long link is
rad/s. Given the dimensions as shown, the magnitude of the angular velocity
of the 4 cm long link is given by ____ rad/s (round off to 2 decimal places). 
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A schematic of an epicyclic gear train is shown in the figure. The sun (gear 1) and planet (gear 2) are external, and the ring gear (gear 3) is internal. Gear 1, gear 3 and arm OP are pivoted to the ground at O. Gear 2 is carried on the arm OP via the pivot joint at P, and is in mesh with the other two gears. Gear 2 has 20 teeth and gear 3 has 80 teeth. If gear 1 is kept fixed at 0 rpm and gear 3 rotates at 900 rpm counter clockwise (ccw), the magnitude of angular velocity of arm OP is ________ rpm (in integer).
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Consider the mechanism shown in the figure. There is rolling contact without slip between the disc and ground.
Select the correct statement about instantaneous centers in the mechanism.
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Consider a reciprocating engine with crank radius
and connecting rod of length
. The secondary unbalance force for this case is equivalent to primary unbalance force due to a virtual crank of ______Your answerChoose one option.
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The controlling force curves P, Q and R for a spring controlled governor are shown in the figure, where
and
are any two radii of rotation. 
The characteristics shown by the curves are
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The figure shows an arrangement of a heavy propeller shaft in a ship. The combined polar mass moment of inertia of the propeller and the shaft is 100 kg.m
. The propeller rotates at
rad/s. The waves acting on the ship hull induces a rolling motion as shown in the figure with an angular velocity of 5 rad/s. The gyroscopic moment generated on the shaft due to the motion described is ______ N.m (round off to the nearest integer). 
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A tapet valve mechanism in an IC engine comprises a rocker arm ABC that is hinged at B as shown in the figure. The rocker is assumed rigid and it oscillates about the hinge B. The mass moment of inertia of the rocker about B is
kg.m
. The rocker arm dimensions are
cm and
cm. A pushrod pushes the rocker at location A, when moved vertically by a cam that rotates at
rpm. The pushrod is assumed massless and has a stiffness of 15 N/mm. At the other end C, the rocker pushes a valve against a spring of stiffness 10 N/mm. The valve is assumed massless and rigid. 
Resonance in the rocker system occurs when the cam shaft runs at a speed of ______ rpm (round off to the nearest integer).
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