6. An object of mass M suspended by a spring vibrates with period T. If the obje

Question

6. An object of mass M suspended by a spring vibrates with period T. If the object is replaced by one of mass 4M, the new system vibrates with a period: 7. An object of mass M suspended by a spring of constant k vibrates with period T. If the object is replaced by one of mass 2M, and constant 2k the new system vibrates with a period: 8. A mass oscillate with SHM of amplitude A and period T. The kinetic energy of the mass is equal with the potential energy of the spring at: 9. A pendulum on earth has a period T. On an unknown planet it has a period T'=2T. The acceleration due to gravity on this planet g? is

Explanation / Answer

6) T = 2*pi*sqrt(M/k)

T' = 2*pi*sqrt(4M/K) = 2T

option B

+++++

7) T' = 2*pi*sqrt(2M/2K) = T

option D

+++++

8)

0.5*m*v^2 = 0.5*k*x^2

m*w^2*(A^2-x^2) = m*w^2*x^2

x = A/sqrt2

x = A*sinwt

A/sqrt2 = A*sinwt

wt = pi/4

2*pi*t/T = pi/4

t = T/8

option D

++++++++++++

9)

T = 2*pi*sqrt(L/g)

T' = 2*pi*sqrt(L/g')

T'/T = sqrt(g/g')

2 = sqrt(g/g')

g' = g/4

option A

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