1
GATE ME 2003
+2
-0.6
The circular disc shown in its plan view in the figure rotates in a plane parallel to the horizontal plane about the point $$O$$ at a uniform angular velocity $$\omega$$. Two other points $$A$$ and $$B$$ are located on the line $$OZ$$ at distances $${r_A}$$ and $${r_B}$$ from $$O$$ respectively.

The velocity of point $$B$$ with respect to point $$A$$ is a vector of magnitude

A
$$0$$
B
$$\omega \left( {{r_B} - {r_A}} \right)$$ and direction opposite to the direction of motion of point $$B$$
C
$$\omega \left( {{r_B} - {r_A}} \right)$$ and direction same as the direction of motion of point $$B$$
D
$$\omega \left( {{r_B} - {r_A}} \right)$$ and direction being from $$O$$ to $$Z$$
2
GATE ME 2003
+2
-0.6
The circular disc shown in its plan view in the figure rotates in a plane parallel to the horizontal plane about the point $$O$$ at a uniform angular velocity $$\omega$$. Two other points $$A$$ and $$B$$ are located on the line $$OZ$$ at distances $${r_A}$$ and $${r_B}$$ from $$O$$ respectively.

The acceleration of point $$B$$ with respect to point $$A$$ is a vector of magnitude

A
$$0$$
B
$$\omega \left( {{r_B}^2 - {r_A}^2} \right)$$ and direction same as the direction of motion of point $$B$$
C
$${\omega ^2}\left( {{r_B} - {r_A}} \right)$$ and direction opposite to the direction of motion of point $$B$$
D
$${\omega ^2}\left( {{r_B} - {r_A}} \right)$$ and direction being from $$Z$$ to $$O$$
3
GATE ME 1999
+2
-0.6
For the audio Cassette mechanism shown in Figure given below where is the instantaneous center of rotation (point) of the two spools?
A
Point $$P$$ lies to the left of both the spools but a infinity along the line joining $$A$$ and $$H$$
B
Point P lies in between the two spools on the line joining A and H, such that $$\overline {PH} \,\, = \,\,2\overline {AP}$$
C
Point $$P$$ lies to the right of both the spools on the line joining $$A$$ and $$H$$, such that AH = HP
D
Point $$P$$ lies at the intersection of the line joining $$B$$ and $$C$$ and the line joining $$G$$ and $$F$$
4
GATE ME 1996
+2
-0.6
A rod of length $$1$$ $$m$$ is sliding in a corner as shown in Fig.$$2.7.$$ At an instant when the rod makes an angle of $$60$$ degrees with the horizontal plane, the velocity of point $$A$$ on the rod is $$1$$ $$m/s$$. The angular velocity of the rod at this instant is
A
$$2$$ rad/s
B
$$1.5$$ rad/s
C
$$0.5$$ rad/s
D
$$0.75$$ rad/s
GATE ME Subjects
EXAM MAP
Medical
NEET