1. The motion of a particle is described by . In which moment of time will the velocity of particle be 20 m/s?

• 16

2. Disk of radius R=1.5m rotates with an angular velocity of , and angular acceleration of . Determine the acceleration of a point on the rim of the disk.

• 7.5

3. Which of the points on diagram is the instantaneous centre of zero velocity?

• point N

4. Crank OA of length 1m rotates with angular velocity . The length of the connecting rod AB=3m. Determine the velocity of the slide block B at the given instant.

• 

5. Give the definition of relative motion of a particle.

• The motion performed by particle with respect to the moving coordinate system

6. P oint M moves along a circle of radius R=2m. At the given instant relative velocity of point M is: .

Determine the absolute velocity of point M (see figure) if the circle rotates with the angular velocity .

• 6

7. The motion of a particle is described by the equation . Find the velocity of particle at time t=5s.

• 23

8. Which of the following equalities expresses uniformly accelerated rotation of a rigid body?

• 

9. Which of the points on diagram is the instantaneous center of zero velocity?

• point G

10. C rank OA of length 0,6m rotates with angular velocity . The length of the connecting rod AB=3m. Determine the velocity of slide block B at the given instant.

• 1,8

11. T he triangle rotates about axis Oz with angular velocity . Particle M moves along the side AB with relative velocity .

Determine the absolute velocity of point M (see figure) if the distance AM=2m.

• 

12. The curvilinear motion of a particle is described by equation (m). Find the radius of curvature at instant when normal acceleration of particle is equal to 5 .

• 45

13. The tangential acceleration of a point on the rim of disk is equal to 1.5 . Determine the angular acceleration of that disk at a given instant, if its radius R=2m.

• 0.75

14. Crank OA of length 0.5m rotates with angular velocity . The length of the connecting rod AB=1m. Determine the velocity of the slide block B at the given instant.

• 

15. Particle M moves along a circle of radius R=2m. At the given instant relative velocity of point M is . Determine the absolute velocity of point M (see figure) if circle rotates about axis Oz with the angular velocity .

• 

16. A particle moves along a circle of radius R=2m. Equation of particle’s motion is S=10t+5 (m). Find the normal acceleration of particle.

• 50

17. Crank OA of length 0.5m rotates with angular velocity . The length of the connecting rod AB=1m.

Determine the velocity of slide block B at the given instant.

• 1

18. Point M moves along a circle of radius R=0.2m. At the given instant relative velocity of point M is .

Determine the absolute velocity of point M (see figure) if circle rotates with angular velocity .

• 2,1

19. The motion of a particle is described by the equations . Find velocity of the particle at time t=2s.

• 20

20. Crank OA of length 0.5m rotates with angular velocity . The length of the connecting rod AB=1m.

Determine the angular velocity of rod AB at the given instant.

• 3

21. The normal acceleration of a point on the rim of disk is equal to 2 . Determine the angular velocity of that disk at given instant, if its radius R=0.5m.

• 2

22. Motion of a particle is described by the equations . Find the acceleration of particle.

• 

23. Indicate the formula defining the velocity vector of point B in plane motion.

• 

24. D etermine the velocity of point B of the wheel rolling without slipping, if point A has at the given instant velocity .

• 

25. Triangle ABC rotates about axis AC with angular velocity . Point M moves along the side BC with relative velocity .

_{Determine the} Coriolis acceleration if _.

• 12

26. The equations of motion of a particle: . Find velocity of the particle at instant t=20s.

• 15

27. The equation of rotation of a rigid body given by . Determine the angular acceleration at time t=1s.

• – 0,5 ²

28. What is the velocity of point B of the wheel rolling without slipping,

if the centre A has at a given instant the velocity .

• 

29. R od AB rotates about axis z with angular velocity . Point M moves along the rod AB with the relative velocity .

What is the Coriolis acceleration of point M?

• 12

30. The equation of rotation is . Find the angular acceleration at time t=6s.

• 86,4

31. Point A of the step-wheel has at a given instant velocity . Radii are: .

What is the velocity of point B?

• 2

32. Triangle ABC rotates about axis Oz with angular velocity . Point M moves along the side AC with relative velocity .

What is the Coriolis acceleration of point M?

• 3

33. The tangential acceleration of a point on the rim of the disk is 1.5 . Determine the angular acceleration of the disk, if its radius R=3/2m.

• 1

34. A particle is moving along the curvilinear trajectory. Its equation of motion given by m. Determine the radius of curvature at time when normal acceleration of the particle =20 .

• 5

35. Rod АВ of length 1m is moving as indicated between the wall and floor. At the indicated position point A has velocity =2 m/s. What is the angular velocity of AB?

• 4