Spring Block's Time Period
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A device is designed in such a way that it displays green light whenever its speed is increasing and a blue light when the speed is decreasing. If the device is performing SHM with a time period of 12s and it starts from the extreme position, when is the device green?
at t = 1 seconds
at t = 3.2 seconds
at t = 7 seconds
at t = 11 seconds
A mass attached to a spring executes SHM
Match the following conditions.
(i) vx>0, ax>0 (I)x>0
(ii) vx<0, ax>0
(iii) vx>0, ax<0 (II)x<0
(iv) vx<0, ax<0
(i) - II; (ii) - I; (iii) - I; (iv) - I
(i) - II; (ii) - II; (iii) - I; (iv) - I
(i) - I; (ii) - II; (iii) - I; (iv) - I
(i) - I; (ii) - I; (iii) - II; (iv) - II
- 3 s
- 4 s
- 12 s
- 2 s
A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes SHM of time period T. If the mass is increased by m, the time period becomes5T3 . Then the ratio of mM is:
35
259
169
53
A block P of mass m is placed on a frictionless horizontal surface. Another block Q of same mass is kept on P and connected to the wall with the help of a spring of spring constant k as shown in the figure. μs is the coefficient of friction between P and Q. The blocks move together performing SHM of amplitude A. The maximum value of the friction force between P and Q is:
kA2
μsmg
kA
Zero
A horizontal platform is executing simple harmonic motion in the vertical direction with a frequency v. A block of mass m is placed on the platform. What is the maximum amplitude of the platform so that the block is not detached from it?
g4π2v2
g2π2v2
mg2π2v2
mg4π2v2
A tray of mass M=10 kg is supported on two identical springs, each of spring constant k, as shown in the figure. When the tray is depressed a little and released, it executes simple harmonic motion of period 1.5 s. When a block of mass m is placed on the tray, the period of oscillation becomes 3.0 s. The value of m is
40 kg
20 kg
30 kg
10 kg
Two springs of force constants K1 and K2 are connected to a mass m as shown. The frequency of oscillation of the mass is f. If both K1 and K2 are made four times their original values, the frequency of oscillation becomes:
f4
f2
2f
4f
Two springs A and B have force constants k1 and k2 respectively. The ratio of work done on A to that done on B when they are stretched by the same force is
k1k2
k2k1
√k2k1
√k1k2