1
GATE ME 2004
MCQ (Single Correct Answer)
+2
-0.6
A company produces two types of toys: $$P$$ and $$Q.$$ Production time of $$Q$$ is twice that of $$P$$ and the company has a maximum of $$2000$$ time units per day. The supply of raw material is just sufficient to produce $$1500$$ toys (of any type) per day. Toy type $$Q$$ requires an electric switch which is available @ $$600$$ pieces per day only. The company makes a profit of Rs.$$3$$ and Rs.$$5$$ on type $$P$$ and $$Q$$ respectively. For maximization of profits, the daily production quantities of $$P$$ and $$Q$$ toys should respectively be
A
$$100, 500$$
B
$$500,1000$$
C
$$800,600$$
D
$$1000,1000$$
2
GATE ME 2004
MCQ (Single Correct Answer)
+1
-0.3
Two mating spur gears have $$40$$ and $$120$$ teeth respectively. The pinion rotates at $$1200$$ $$rpm$$ and transmits a torque of $$20N.m.$$ The torque transmitted by gear is

A
$$6.6Nm$$
B
$$20Nm$$
C
$$40Nm$$
D
$$60$$$$Nm$$
3
GATE ME 2004
MCQ (Single Correct Answer)
+2
-0.6
A compacting machine shown in the figure below is used to create a desired thrust force by using a rack and pinion arrangement. The input gear is mounted on the motor shaft. The gears have involutes teeth of $$2$$ $$mm$$ module. GATE ME 2004 Machine Design - Design of Spur Gears Question 13 English

If the drive efficiency is $$80\% ,$$ the torque required on the input shaft to create $$1000N$$ output thrust is

A
$$20$$ $$Nm$$
B
$$25$$ $$Nm$$
C
$$32$$ $$Nm$$
D
$$50$$ $$Nm$$
4
GATE ME 2004
MCQ (Single Correct Answer)
+2
-0.6
A compacting machine shown in the figure below is used to create a desired thrust force by using a rack and pinion arrangement. The input gear is mounted on the motor shaft. The gears have involutes teeth of $$2$$ $$mm$$ module. GATE ME 2004 Machine Design - Design of Spur Gears Question 12 English

If the pressure angle of the rack is $${20^ \circ },$$ the force acting along the line of action between the rack and the gear teeth is

A
$$250$$ $$N$$
B
$$342$$ $$N$$
C
$$532$$ $$N$$
D
$$600$$ $$N$$
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