The time period of the given spring-mass system is:

1. 2πmk 2. 2πm2k
3. 2π2m3k 4. πmk
Subtopic:  Combination of Springs |
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Infinite springs with force constants k, 2k, 4k, 8k,.... respectively are connected in series. The effective force constant of the spring will be:
1. 20k
2. 40k
3. k/2
4. none of these
Subtopic:  Combination of Springs |
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As per the given figures, two springs of spring constants k and 2k are connected to mass m. If the period of oscillation in figure (a) is 3 s, then the period of oscillation in figure (b) is x s. The value of x is:
       
1. 3
2. 4
3. 2
4. 1
Subtopic:  Combination of Springs |
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Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in the figure. When the mass is displaced from its equilibrium position on either side, it executes a simple harmonic motion. The period of oscillations is:

      

1. 2πm4k
2. 2π2mk
3. 2πm2k
4. 2πmk
Subtopic:  Combination of Springs |
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When a mass m is connected individually to two springs S1 and S2, the oscillation frequencies are ν1 and ν2. If the same mass is attached to the two springs as shown in the figure, the oscillation frequency would be: 

         

1. v2+v2 2. v12+v22
3. (1v1+1v1)1 4. v12v22
Subtopic:  Combination of Springs |
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An electric motor of mass 40 kg is mounted on four vertical springs each having a spring constant of 4000 Nm1. The period with which the motor vibrates vertically is:
1. 0.314 s 
2. 3.14 s 
3. 0.628 s 
4. 0.157 s 
Subtopic:  Combination of Springs |
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A spring having a spring constant of 1200 N/m is mounted on a horizontal table as shown in the figure. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released. The maximum acceleration of the mass is:

1. 6 ms–2 2. 8 ms2
3. 3.3 ms2 4. 5.1 ms2
Subtopic:  Combination of Springs |
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