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

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 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

A uniform disc of diameter 300 mm and of mass 5 kg is mounted on one end of an arm of length 600 mm. The other end of the arm is free to rotate in a universal bearing. If the disc rotates about the arm with a speed of 300 r.p.m. clockwise, looking from the front, with what speed will it precess about the vertical axis?

A

14.7 rad/s

B

15.7 rad/s

C

16.7 rad/s

D

17.7 rad/s

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.

In the figure given below A and D are fixed points, link AB rotates at a uniform angular velocity of 900 rev/min ccw, find angular velocity of BC in rad/s. Rab = 100mm, Bc = 450, distance of E from BC = 100mm, Cf= 75mm, CD = 275mm, AD =250mm, perpendicular DF = 17mm, perpendicular BE = 250mm.

A

28.3

B

2 8.7

C

29.4

D

25.3

In the figure given below A and D are fixed points, link AB rotates at a uniform angular velocity of 900 rev/min ccw, find angular velocity of CDin rad/s. Rab = 100mm, Bc = 450, distance of E from BC = 100mm, Cf= 75mm, CD = 275mm, AD =250mm, perpendicular DF = 17mm, perpendicular BE = 250mm.

A

48.37

B

48.77

C

49.47

D

45.37

In the below figure, PC is the connecting rod and OC is the crank making an angle $$\theta $$ with the line of stroke PO and rotates with uniform angular velocity at $$\omega $$ rad/s. The Klien's acceleration diagram for determining the acceleration of the piston P is shown by quadrilateral CQNO, the acceleration of the piston is _________ when the crank OC and connecting rod PC are at right angles to each other.

A

Infinity

B

Zero

C

Any +ve value

D

Any -ve value

In the below figure, PC is the connecting rod and OC is the crank making an angle θ with the line of stroke PO and rotates with uniform angular velocity at $$\omega $$ rad/s. The Klien's acceleration diagram for determining the acceleration of the piston P is shown by quadrilateral CQNO. The acceleration of the piston P with respect to the crank-pin C is given by

A

$${\omega ^2}$$ × NO

B

$${\omega ^2}$$ × CO

C

$${\omega ^2}$$ × CN

D

$${\omega ^2}$$ × QN