The equivalent length of a simple pendulum which gives the same frequency as a compound pendulum is

A $$\frac{{\text{h}}}{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}$$
B $$\frac{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}{{\text{h}}}$$
C $$\frac{{{{\text{h}}^2}}}{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}$$
D $$\frac{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}{{{{\text{h}}^2}}}$$

Correct Answer: $$\frac{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}{{\text{h}}}$$

Bissoy MCQ
#Mechanical Engineering #Theory of Machine

Related Questions

The equivalent length of a simple pendulum which gives the same frequency as compound pendulum is
A $$\frac{{\text{h}}}{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}$$
B $$\frac{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}{{\text{h}}}$$
C $$\frac{{{{\text{h}}^2}}}{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}$$
D $$\frac{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}{{{{\text{h}}^2}}}$$
The length of a simple pendulum which gives the same frequency as the compound pendulum, is
A $${\text{kG}} + {l_1}$$
B $${\text{k}}{{\text{G}}^2} + {l_1}$$
C $$\frac{{{\text{k}}{{\text{G}}^2} + l_1^2}}{{{l_1}}}$$
D $$\frac{{{\text{kG}} + l_1^2}}{{{l_1}}}$$
The periodic time of one oscillation for a simple pendulum is (where $$l$$ = Length of the pendulum.)
A $$\frac{1}{{2\pi }}\sqrt {\frac{l}{{\text{g}}}} $$
B $$\frac{1}{{2\pi }}\sqrt {\frac{{\text{g}}}{l}} $$
C $$2\pi \sqrt {\frac{l}{{\text{g}}}} $$
D None of these
The frequency of oscillation of a compound pendulum is
A 1/2π √g.h/k2G +h2
B 1/2π √k2G +h2/g.h
C 2π√g.h/k2G +h2
D 2π√k2G +h2/g.h
If the radius of gyration of a compound pendulum about an axis through e.g. is more, then its frequency of oscillation will be
A Less
B More
C Same
D Data are insufficient to determine same
A Thevenin ac equivalent circuit always consists of an equivalent ac voltage source and an equivalent capacitance.
A True
B False
Norton's theorem provides a method for the reduction of any ac circuit to an equivalent form consisting of an equivalent voltage source in series with an equivalent impedance.
A True
B False
Thevenin's theorem provides a method for the reduction of any ac circuit to an equivalent form consisting of an equivalent current source in parallel with an equivalent impedance.
A True
B False
In order to double the period of a simple pendulum, the length of the string should be
A halved
B doubled
C quadrupled
D none of the mentioned
In order to double the period of simple pendulum, the length of the string should be
A Halved
B Doubled
C Quadrupled
D None of these

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