At an instant the link AB of length r has an angular velocity ω and an angular acceleration α. What is the total acceleration of AB? 1/2 b) 1/2 c) 1/2 d) 1/2

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

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

At an instant, if the angular velocity of a link is clockwise then the angular acceleration will be

A

clockwise

B

counterclockwise

C

in any direction

D

none of the mentioned

In a single link robotic arm the end-effector slides upward along the link with a velocity of 0.5 m/s while the link rotates about revolute joint with an angular speed of 1 rad/sec. When the end-effector is at a distance of 1 m from the joint, the acceleration experienced by the end-effector will be

A

1 m/s2

B

1.41 m/s2

C

1.71 m/2

D

2 m/2

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

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

A

2rω parallel to the link

B

2ωv perpendicular to the link

C

2rω perpendicular to the link

D

2ωv parallel to the link

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.

A horizontal platform is rotating with uniform angular velocity ω around the vertical axis passing through its centre. At some instant of time, a viscous liquid of mass m is dropped at the centre and is allowed to spread pout and finally fall. The angular velocity during this period ___________

A

Decreases continuously

B

Decreases initially and increases again

C

Remains unaltered

D

Increases continuously

Below a set of instructions is given on preparation of instant coffee. Using the instructions, fill in the blank in the sentence given below.
(i) Boil water.
(ii) Take one teaspoon each of instant coffee and sugar.
(iii) Add boiling water and stir the mixture vigorously.
(iv) Warm milk separately.
(v) Add warm milk to the mixture and stir.
(iv) Hot instant-coffee is ready to drink.

A

is warmed

B

was warmed

C

will be warmed

D

had been warmed

At an instant the link AB of length r has an angular velocity ω and an angular acceleration α. What is the total acceleration of AB? 1/2 b) 1/2 c) 1/2 d) 1/2

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