GATE ME 1987
GATE ME
1
A streamlined body is defined as a body about which
2
In the case of turbulent flow of a fluid through a circular tube (as compared to the case of laminar flow at the same flow rate) the maximum velocity is ...................., shear stress at the wall is ................................., and the pressure drop across a given length is ____________. The correct words for the bllanks are, respectively:
3
Consider the saline drip bottle shown. If $$\rho $$ is the density of saline, find
(a) Pressure at $$A,$$
(b) The velocity of flow of saline through the tube. (Neglect viscous losses in tube). Atmospheric pressure $${P_{atm}}.$$
(a) Pressure at $$A,$$
(b) The velocity of flow of saline through the tube. (Neglect viscous losses in tube). Atmospheric pressure $${P_{atm}}.$$
4
When a Pitot-static tube is immersed in a water stream (density $${\rho _w}$$), the differential head measured by a mercury (density $${\rho _m}$$ manometer is $${h_m}.$$ What is the velocity of the water stream?
5
A mercury manometer is attached to a section of the pipe shown in the figure. Mercury levels are indicated when there is no water flowing through the pipe. When water starts flowing through the pipe continuously at constant rate in the direction of the arrow, the level of mercury at $$B:$$
6
A jet of water (area $${A_j},$$ velocity $${V_j},$$ density $$\rho $$ ) impinges horizontally on a curved vane which deflects the jet through $${60^0}$$ upwards. If the vane travels horizontally at a speed $$'u'$$ find
(a) the force experienced by the vane, and
(b) the power developed by the vane.
(a) the force experienced by the vane, and
(b) the power developed by the vane.
7
Axial operation claw clutches having self-locking tooth profile
8
The expected life of a ball bearing subjected to a load of $$9800N$$ and working at $$1000RPM$$ is $$3000$$ hours. What is the expected life of the same bearing for a similar load of $$4900$$ $$N$$ and a speed of $$2000rpm$$
9
Weldments in fabricated steel beams are designed for
10
A ductile material having an endurance limit of $$196$$ $$N/m{m^2}$$ and the yield point at $$294$$ $$N/m{m^2}$$ is stressed under variable load. The maximum and minimum stresses are $$147$$$$N/m{m^2}$$ and $$49$$$$N/m{m^2}$$. The fatigue stress concentration factor is $$1.32.$$ The available factor of safety for this loading is
11
The hole $${40^{\matrix{
{0.020} \cr
{ + 0.000} \cr
} }}$$ & shaft, $${40^{\matrix{
{ + 0.010} \cr
{ - 0.010} \cr
} }}$$ when assembled will result in
12
For blanking and piercing operations, clearance is provided on the ................... and the ......................... respectively
13
In a turning operation the tool life of the carbide tool was found to be $$20min$$ and $$100min,$$ at cutting speeds of $$120m/min$$ and $$80m/min$$ respectively. What will be the tool life of the tool under same condition but at a cutting speed of $$100m/min.$$
14
During orthogonal turning of a steel rod by zero rake tool at feed $$0.25mm/rev$$ and depth of cut $$2.0mm,$$ the following observations were obtained. Tangential component of cutting force $$=1000N$$, Axial component of cutting force $$=500N,$$ chip thickness $$=1.0mm,$$ with the help of diagram determine the yield shear strength of work material under the given cutting conditions.
15
If in a turning operation both the feed rate and the nose radius are doubled the surface finish values will be
16
Cutting tools are provided with large positive rake angle mainly for
17
In forging operation the sticking friction condition occurs near the ...... (Center/ ends) while sliding friction condition occurs near the ...... (Center / ends)
18
For wire drawing operation, the work material should essentially be
19
A down sprue of $$180mm$$ length has diameter of $$20mm$$ at its top end. The liquid metal in the pouring cup is main-tained upto $$60$$ $$mm$$ height. What should be the theoretical diameter of down sprue at its lowest end to ensure that there is no aspiration effects.
20
Riser is designed so as to
21
A 6 metre long supported wooden beam of rectangular section 10 cm $$ \times $$ 20 cm deep is strengthened by mild steel plates 0.5 cm $$ \times $$ 10 cm wide at the top and bottom fibre over the entire length. Find the minimum supportable uniformly distributed load considering failures in steel and wood due to flexure. Weakening of wood due to screws and weakening of the steel plates due to drilled holes may be ignored.
Permissible tensile stress for steel = 156.8 N/mm2
Permissible tensile stress for steel = 14.89 N/mm2
Young's modulus of mild steel = 1.96 $$ \times $$ 105 N/mm2
Young's modulus of wood = 0.117 $$ \times $$ 105 N/mm2
Permissible tensile stress for steel = 156.8 N/mm2
Permissible tensile stress for steel = 14.89 N/mm2
Young's modulus of mild steel = 1.96 $$ \times $$ 105 N/mm2
Young's modulus of wood = 0.117 $$ \times $$ 105 N/mm2
22
The figure shows arrangements of springs. They have stiff nesses $${{K_1}}$$ and $${{K_2}}$$ as marked. Which of the following arrangements offers a stiffness $$ = \,{{2{K_1}{K_2}} \over {{K_1} + 2{K_2}}}$$