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

Coriolis component of acceleration depends on 1. angular velocity of the link 2. acceleration of the slider 3. angular acceleration of the link Which of the above is/are correct?

A

1 only

B

2 only

C

1 and 3

D

2 and 3

What is the distance covered by boat N upstream in 5 hours? Which of the following option is sufficient alone to find the answer? A) Boat M is travelling downstream with 20% more downstream speed of boat N. Speed of boat M in still water is 10% more than the speed of boat N in still water. B) Boat M and Boat N are travelling downstream with speed 33 km/hr and 40 km/hr respectively and speed of boat M is still water is 2 times the speed of stream. C) Speed of boat M in still water is 6 km/hr less then speed of boat N in still water and speed of stream is 10 km/hr. D) Speed of stream is ½ times the speed of boat N in still water and downstream speed of boat M is 44 km/hr. E) Speed of stream is 10 km/hr and ratio of upstream speed of boat M and boat N is 3 : 2 respectively.

A

Only A and B

B

Only B and C

C

Only B

D

All A, B, C and D

E

None of A, B, C and D

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?

A

6 rad/s

B

16 rad/s

C

4 rad/s

D

14 rad/s

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

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

Below are given statements. You have to take the given statements to be true even if they appear to be at variance with commonly known facts, and then decide which of conclusions logically follows from the given statements. For each question, mark out an appropriate answer choice that you think is correct. Statements: Some doors are slides. All slides are rooms. Some rooms are works. No work is code. Conclusions: 1) Some slides are works. 2) Some rooms are not code. 3) 100% rooms are slides. 4) Some doors are works.

A

Statement 1 follows

B

Statement 2 follows

C

Statement 4 follows

D

All follows

The rate of change of angular speed is constant. What will be the expression for change in angular speed after time dt, if angular acceleration is ‘a’? The initial angular speed is ‘w’.

A

a*dt

B

w – a*dt

C

w + a*dt

D

There is no change

When a stone thrown directly upwards reaches the top, it: A. Velocity and acceleration are zero. B. The velocity is zero and the acceleration is about 10 m/s2. C. Velocity is about 10 m/s and acceleration is zero. D. The velocity is about 10 m/s and the acceleration remains the same.

A

C

B

D

C

B

D

A

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.

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