1
GATE ME 2017 Set 2
Numerical
+2
-0
A helical compression spring made of wire of circular cross-section is subjected to a compressive load. The maximum shear stress induced in the cross-section of the wire is 24 MPa. For the same compressive load, if both the wire diameter and the mean coil diameter are doubled, the maximum shear stress (in MPa) induced in the cross-section of the wire is _____.
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2
GATE ME 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The deflection of a spring with 20 active turns under a load of 1000 N is 10 mm. The spring is made into two pieces each of 10 active coils and placed in parallel under the same load. The deflection of the system is
A
20 mm
B
10 mm
C
5 mm
D
2.5 mm
3
GATE ME 2008
MCQ (Single Correct Answer)
+2
-0.6
A compression spring is made of music wire of $$20$$ mm diameter having a shear strength and shear modulus of $$800$$ MPa and $$80$$ GPa respectively. The mean coil diameter is $$20$$ mm, free length is $$40$$ mm and the number of active coils is $$10.$$ If the mean coil diameter is reduced to $$10$$ mm, the stiffness of the spring is approximately
A
Decreases by $$8$$ times
B
Decreases by $$2$$ times
C
Increases by $$2$$ times
D
Increases by $$8$$ times
4
GATE ME 2005
MCQ (Single Correct Answer)
+2
-0.6
A weighing machine consists of a 2 kg pan resting on a spring in this condition, with the pan resting on the spring, the length of the spring is 200 mm. When a mass of 20 kg is placed on the pan, the length of the spring becomes 100 mm. For the spring, the un-deformed length L and the spring constant K (stiffness) are
A
L $$=$$ 220 mm, K $$=$$ 1862 N/m
B
L $$=$$ 210 mm, K $$=$$ 1960 N/m
C
L $$=$$ 200 mm, K $$=$$ 19860 N/m
D
L $$=$$ 200 mm, K $$=$$ 2156 N/m
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