The magnitude of absolute angular velocity of link 2 is 10 rad/s while that of link 3 is 6 rad/s, what is the angular velocity of link 3 relative to link 2?

In a crank and slotted lever type quick return mechanism, the link moves with an angular velocity of 20 rad/s, while the slider moves with the linear velocity of 1.5 m/s. The magnitude and direction of Coriolis component of acceleration with respect to angular velocity are

A

30 m/s2 and direction is such as to rotate slider velocity in the same sense as the angular velocity

B

30 m/s2 and direction is such as to rotate slider velocity in the opposite sense as the angular velocity

C

60 m/s2 and direction is such as to rotate slider velocity in the same sense as the angular velocity

D

60 m/s2 and direction is such as to rotate slider velocity in the opposite sense as the angular velocity.

The magnitude of linear velocity of a point B on a link AB relative to point A is, (Where $$\omega $$ = Angular velocity of the link AB)

A

$$\omega \times {\text{AB}}$$

B

$$\omega \times {\left( {{\text{AB}}} \right)^2}$$

C

$${\omega ^2} \times {\text{AB}}$$

D

$${\left( {\omega \times {\text{AB}}} \right)^2}$$

Which of the following statements are correct? 1) Velocity compounded impulse turbine gives less speed and less efficiency. 2) For an ideal centrifugal compressor, the pressure produced depends on impeller velocity and diameter. 3) While flowing through the rotor blades in a gas turbine, the relative velocity of gas continuously decreases. 4) While flowing through the rotor blades in an axial flow compressor, the relative velocity of air continuously decreases.

A

1 and 3

B

2 and 3

C

1 and 4

D

2 and 4

The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity ω1 rad/s in the clockwise direction and the link OB turns with angular velocity ω2 rad/s in the anti-clockwise direction, then the rubbing velocity at the pin joint O is

A

ω1.ω2.r

B

(ω1-ω2)r

C

(ω1+ω2)r

D

(ω1-ω2)2r

The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity $${\omega _1}$$ rad/s in the clockwise direction and the link OB turns with angular velocity $${\omega _2}$$ rad/s in the anticlockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

A

$${\omega _1}{\omega _2}{\text{r}}$$

B

$$\left( {{\omega _1} - {\omega _2}} \right){\text{r}}$$

C

$$\left( {{\omega _1} + {\omega _2}} \right){\text{r}}$$

D

$$\left( {{\omega _1} - {\omega _2}} \right)2{\text{r}}$$

The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity $${\omega _1}$$ rad/s in the clockwise direction and the link OB turns with angular velocity $${\omega _2}$$ rad/s in the clockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

A

$${\omega _1}{\omega _2}{\text{r}}$$

B

$$\left( {{\omega _1} - {\omega _2}} \right){\text{r}}$$

C

$$\left( {{\omega _1} + {\omega _2}} \right){\text{r}}$$

D

$$\left( {{\omega _1} - {\omega _2}} \right)2{\text{r}}$$

The relative velocity of a body A with respect to a body B is 5 m/s. The absolute velocity of body B is 10 m/s. Both the bodies are moving in the same direction. What is the absolute velocity of body A?

A

10m/s

B

15m/s

C

-5m/s

D

0m/s

A sphere having radius 5 cm rolling purely on a horizontal surface with angular velocity 3 rads-1, then what is the linear velocity for bottom-most point?

A

15 ms^-1

B

0.15 ms^-1

C

9 ms^-1

D

0 ms^-1

The radius of a body moving in a circle with constant angular velocity is given by r = 4t2, with respect to time. What is the magnitude of the tangential velocity at t = 2s, if the angular velocity is 7 rad/s?

A

112

B

113

C

56

D

28

A slider moves with uniform velocity on a revolving link of length r with angular velocity ω. The Coriolis acceleration component of a point on the slider relative to a coincident point on the link is equal to

A

ω parallel to the link

B

2ω perpendicular to the link

C

ω perpendicular to the link

D

2ω parallel to the link

The magnitude of absolute angular velocity of link 2 is 10 rad/s while that of link 3 is 6 rad/s, what is the angular velocity of link 3 relative to link 2?

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