The minimum periodic time of a compound pendulum is

A $$\frac{1}{{2\pi }}\sqrt {\frac{{{{\text{k}}_{\text{G}}}}}{{\text{g}}}} $$
B $$\frac{1}{{2\pi }}\sqrt {\frac{{{\text{2}}{{\text{k}}_{\text{G}}}}}{{\text{g}}}} $$
C $$2\pi \sqrt {\frac{{{{\text{k}}_{\text{G}}}}}{{\text{g}}}} $$
D $$2\pi \sqrt {\frac{{{\text{2}}{{\text{k}}_{\text{G}}}}}{{\text{g}}}} $$

Correct Answer: $$2\pi \sqrt {\frac{{{\text{2}}{{\text{k}}_{\text{G}}}}}{{\text{g}}}} $$

Bissoy MCQ
#Mechanical Engineering #Theory of Machine

Related Questions

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 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 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 $$\frac{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}{{{{\text{h}}^2}}}$$
The periodic time of a compound pendulum is __________ when the distance between the point of suspension and the center of gravity is equal to the radius of gyration of the body about its center of gravity.
A Zero
B Minimum
C Maximum
D None of these
The periodic time of one oscillation for a simple pendulum is
A $$2\pi \sqrt {\frac{{\text{g}}}{l}} $$
B $$\frac{1}{{2\pi }}\sqrt {\frac{{\text{g}}}{l}} $$
C $$2\pi \sqrt {\frac{l}{{\text{g}}}} $$
D $$\frac{1}{{2\pi }}\sqrt {\frac{l}{{\text{g}}}} $$
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
As applied to capitalized asset, the distribution of the initial cost by a periodic changes to operation as in depreciation or the reduction of a debt by either periodic or irregular prearranged programs is called ______.
A Annuity
B Amortization
C Capital recovery
D Annuity factor
The time period of a second pendulum has been increased. To make its time period 2s, its length will be.
A Increased
B Decreased
C Nothing to be done
D Everyone is correct

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