Related Questions

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
A triangle has a base x and an altitude y. A second triangle has a base twice the altitude of the first triangle, and an altitude twice the base of the first triangle. What is the area of the second triangle?
A 2xy
B 0.5xy
C 0.66xy
D 4xy
Two circular dials of exactly the same size are mounted on a wall side by side in such a way that their perimeters touch at one point. Dial 1, which is on the left , spins clockwise around its center , and dial 2 , which is on the right spins counter clockwise around its center . (Assume that there is no friction at the point of contact between the dials.) Each dial is marked on its perimeter at three points that are at equale distances around the points arked ondial 1 are N, O, and P and the points marked on dial 2 are X, Y, and Z. If points O and Z are just meeting at the point of contact between the dials , and if dial 1 spins at the same speed as dial 2, what is the smallest number of revolutions of each dial that will bring O and Z together again?
A 1
B 2
C 3
D 4
Point A is 10 miles West of Point B. Point b is 30 miles North of pint C. Point C is 20 miles East of Point D. What is the distance (in miles) between Point A and Point D?
A 1010
B 1020
C 2010
D 3010
Point A is 10 km west of point B. Point B is 30 km north of point C. Point C is 20 km east of point D. What is the distance between point A and D?
A 1020Km
B 1010Km
C 2010Km
D 3010Km
Center of gravity of a thin hollow cone lies on the axis at a height of
A One-fourth of the total height above base
B One-third of the total height above base
C One-half of the total height above base
D Three-eighth of the total height above the base
The center of gravity of a uniform lamina lies at
A The center of heavy portion
B The bottom surface
C The mid point of its axis
D All of the above
Center of gravity of a solid cone lies on the axis at the height
A One-fourth of the total height above base
B One-third of the total height above base
C One-half of the total height above base
D Three-eighth of the total height above the base
The center of gravity of a semi-circle lies at a distance of __________ from its base measured along the vertical radius.
A $$\frac{{3{\text{r}}}}{8}$$
B $$\frac{{4{\text{r}}}}{{3\pi }}$$
C $$\frac{{8{\text{r}}}}{3}$$
D $$\frac{{3{\text{r}}}}{{4\pi }}$$
The center of gravity of a quadrant of a circle lies along its central radius (r) at a distance of
A 0.5 r
B 0.6 r
C 0.7 r
D 0.8 r

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