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Test: Spring - 1 - Mechanical Engineering MCQ


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20 Questions MCQ Test GATE Mechanical (ME) Mock Test Series 2025 - Test: Spring - 1

Test: Spring - 1 for Mechanical Engineering 2024 is part of GATE Mechanical (ME) Mock Test Series 2025 preparation. The Test: Spring - 1 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Spring - 1 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Spring - 1 below.
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Test: Spring - 1 - Question 1

If the wire diameter of a closed coil helical spring subjected to compressive load is increased from 1 cm to 2 cm, other parameters remaining same, then deflection will decrease by a factor of: 

Detailed Solution for Test: Spring - 1 - Question 1

Test: Spring - 1 - Question 2

Two helical tensile springs of the same material and also having identical mean coil diameter and weight, have wire diameters d and d/2. The ratio of their stiffness is: 

Detailed Solution for Test: Spring - 1 - Question 2

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Test: Spring - 1 - Question 3

A weighing machine consists of a 2 kg pan resting on 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 undeformed length lo and the spring constant k (stiffness) are:

[GATE-2005]

Detailed Solution for Test: Spring - 1 - Question 3

Initial length = lo m and stiffness = k N/m

Just solve the above equations.

Test: Spring - 1 - Question 4

A helical coil spring with wire diameter ‟d‟ and coil diameter 'D' is subjected to external load. A constant ratio of d and D has to be maintained, such that the extension of spring is independent of d and D. What is this ratio? 

Detailed Solution for Test: Spring - 1 - Question 4

Test: Spring - 1 - Question 5

Assertion (A): Concentric cylindrical helical springs are used to have greater spring force in a limited space.

Reason (R): Concentric helical springs are wound in opposite directions to prevent locking of coils under heavy dynamic loading. 

Test: Spring - 1 - Question 6

Which one of the following statements is correct?

If a helical spring is halved in length, its spring stiffness 

Detailed Solution for Test: Spring - 1 - Question 6

Stiffness of sprin 

Test: Spring - 1 - Question 7

A close-coiled helical spring is made of 5 mm diameter wire coiled to 50 mm mean diameter. Maximum shear stress in the spring under the action of an axial force is 20 N/mm2. The maximum shear stress in a spring made of 3 mm diameter wire coiled to 30 mm mean diameter, under the action of the same force will be nearly 

Detailed Solution for Test: Spring - 1 - Question 7

ks  = (8*20*30)/[(22/7)*(3)3)]

k= 33600/594

= 56n/mm2

Test: Spring - 1 - Question 8

The maximum shear stress occurs on the outermost fibers of a circular shaft under torsion. In a close coiled helical spring, the maximum shear stress occurs on the 

Test: Spring - 1 - Question 9

A closed-coil helical spring is subjected to a torque about its axis. The spring wire would experience a 

Test: Spring - 1 - Question 10

A closely coiled helical spring of 20 cm mean diameter is having 25 coils of 2 cm diameter rod. The modulus of rigidity of the material if 107 N/cm2. What is the stiffness for the spring in N/cm? 

Detailed Solution for Test: Spring - 1 - Question 10

Stiffness of sprin 

Test: Spring - 1 - Question 11

In the calculation of induced shear stress in helical springs, the Wahl's correction factor is used to take care of 

Test: Spring - 1 - Question 12

Cracks in helical springs used in Railway carriages usually start on the inner side of the coil because of the fact that 

Test: Spring - 1 - Question 13

A length of 10 mm diameter steel wire is coiled to a close coiled helical spring having 8 coils of 75 mm mean diameter, and the spring has a stiffness K. If the same length of wire is coiled to 10 coils of 60 mm mean diameter, then the spring stiffness will be: 

Detailed Solution for Test: Spring - 1 - Question 13

Stiffnessof spring 

Test: Spring - 1 - Question 14

A spring with 25 active coils cannot be accommodated within a given space. Hence 5 coils of the spring are cut. What is the stiffness of the new spring? 

Detailed Solution for Test: Spring - 1 - Question 14

Test: Spring - 1 - Question 15

When two springs of equal lengths are arranged to form cluster springs which of the following statements are the:

1. Angle of twist in both the springs will be equal

2. Deflection of both the springs will be equal

3. Load taken by each spring will be half the total load

4. Shear stress in each spring will be equal 

Test: Spring - 1 - Question 16

The unit of modulus of elasticity is same as those of

Test: Spring - 1 - Question 17

A helical spring of constant k is cut into four equal pieces and the four pieces are then combined in parallel. The equivalent spring constant will be 

Test: Spring - 1 - Question 18

If a compression coil spring is cut into two equal parts and the parts are then used in parallel, the ratio of the spring rate to its initial value will be : 

Detailed Solution for Test: Spring - 1 - Question 18

When a spring is cut into two, no. of coils gets halved.
∴ Stiffness of each half gets doubled.
When these are connected in parallel, stiffness = 2k + 2k = 4k

Test: Spring - 1 - Question 19

Two coiled springs, each having stiffness K, are placed in parallel. The stiffness of the combination will be: 

Detailed Solution for Test: Spring - 1 - Question 19

Test: Spring - 1 - Question 20

Figure given above shows a springmass system where the mass m is fixed in between two springs of stiffness S1 and S2. What is the equivalent spring stiffness?

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