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 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 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
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
In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. the length of the smallest side of the triangle PQR is:
A 6 cm
B 8 cm
C 9 cm
D 10 cm
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 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 $$2\pi \sqrt {\frac{{{\text{2}}{{\text{k}}_{\text{G}}}}}{{\text{g}}}} $$

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