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TheorMech-21. The motion of a particle is described by · 16 2. Disk of radius R=1.5m rotates with an angular velocity of · 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
· 5. Give the definition of relative motion of a particle. · The motion performed by particle with respect to the moving coordinate system
6.
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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 · 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.
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· 1,8 11.
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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 · 45 13. The tangential acceleration of a point on the rim of disk is equal to 1.5 · 0.75
14. Crank OA of length 0.5m rotates with angular velocity
·
15. Particle M moves along a circle of radius R=2m. At the given instant relative velocity of point M is
· 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
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 · 20
20. Crank OA of length 0.5m rotates with angular velocity
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 · 2 22. Motion of a particle is described by the equations ·
23. Indicate the formula defining the velocity vector of point B in plane motion. ·
24.
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·
25. Triangle ABC rotates about axis AC with angular velocity
Determine the Coriolis acceleration if · 12
26. The equations of motion of a particle: · 15 27. The equation of rotation of a rigid body given by · – 0,5 p2
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.
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What is the Coriolis acceleration of point M?
· 12 30. The equation of rotation is · 86,4
31. Point A of the step-wheel has at a given instant velocity
What is the velocity of point B? · 2
32. Triangle ABC rotates about axis Oz with angular 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 · 1 34. A particle is moving along the curvilinear trajectory. Its equation of motion given by · 5 35. Rod АВ of length 1m is moving as indicated between the wall and floor. At the indicated position point A has velocity
· 4
36.
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Determine the Coriolis acceleration at time t=2s. · 208
37. Normal acceleration of point M of the disc rotating about fixed axis is equal to 6.4m/s2. What is the angular velocity
· 8/3 38. Velocity of a car is 90km/h. Find the distance (in meter) when car stops if it decelerates with the constant acceleration 5m/s2. · 62.5
39. Acceleration of the rectilinear motion of a point is · 52 40. A point is in rectilinear motion with the acceleration a=0.2t. Find the time t at which the velocity of the point will be equal 2m/s. Initial velocity v0=0. · 4.47 41. An aircraft flies by the circular trajectory of the radius r=10km. Find the velocity of the aircraft in km/h if its normal acceleration · 900
42. Point moves along the circle of radius R=5m according to the equation s=0.5t2 . Find coordinate s of the point at instant when normal acceleration an=5m/s2. · 12.5 43. Find normal acceleration of a point at instant when its acceleration a=1.8m/s2, and angle between acceleration vector and velocity vector is equal to 300. · 0.9 44. Angular velocity of a body is given by · 0.25 45. A body rotates about fixed axis by · 0.5 46. Rod AB of length 80cm moves in the plane. At the given instant velocities of the points A and B are equal vA=0.2m/s and vB=0.6m/s respectively. Find the angular velocity of the rod AB.
· 0.4 47. Triangle is rotating about side AB with the angular velocity ω. Point M moves along the side of the triangle with the relative velocity
· 60 48. Rod AB performs plane motion. In the given position of the rod velocities of points A and B are
· 600 49. Rod AB performs plane motion. АВ=2m, angular velocity of the rod
Find the acceleration of point B. · 4 50.
Determine the acceleration of point B. · 2.5 51. Rod AB is in plane motion. АВ=40сm,
Find the angular acceleration of the rod AB. · 10 52. A body performs plane motion. АВ=1m,
Find the angular velocity of the body. · None of these 53. Rod AB performs plane motion. АВ=2m, angular velocity of the rod is
Determine the acceleration of point B. · 1.6 54. A body (see diagram) is in plane motion. АВ=1m,
Find the angular velocity of the body. · 6.7
55.
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Determine the absolute velocity of point M (see figure) if the circle rotates with the angular velocity · 2.4
56.
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Determine the absolute velocity of point M (see figure) if the distance AM=2m. · 57. Crank OA of length 0.5m rotates with angular velocity
· 3 58. Law of motion of a point is given by · Circle 59. Velocity of a load 1 is V. Find angular velocity of the pulley-3.
· V/3r 60. Find angular velocity of a rod AB if · 6
61. Disc of radius R=10 m/s rotates about axis Ox with the law · 20 62. A law of motion of a particle is given by s=5 + 2.5t2 . Find velocity of the particle at time t=36s. · 180
63. Projections of the velocity vector of a point on the coordinate axes are given: · 64. A square plate rotates about horizontal axis according to a law Find Coriolis acceleration of the point M. · Date: 2015-01-29; view: 2610
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