36. P oint m moves in a straight line along oa with the relative velocity , while oa itself rotates in the plane around point o with the angular velocity rad/s.

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/s^2. What is the angular velocity of the disc if its radius R=0.9m.

• 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 . Initial velocity of the point is . Find velocity of the point at time t=10s.

• 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 a_n=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 . What time does the body need to stop?

• 0.25

45. A body rotates about fixed axis by . Find tangential acceleration of the point of the body at time t=4s if radius of rotation of the point R=0.25m.

• 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 v_A=0.2m/s and v_B=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 . Find the relative acceleration of point M at time t=6s.

• 60

48. Rod ab performs plane motion. In the given position of the rod velocities of points a and b are , . What is the angle between velocity-vector and the line ab?

• 60⁰

49. Rod AB performs plane motion. АВ=2m, angular velocity of the rod =1rad/s, angular acceleration =0, acceleration of point А is =2m/s².

Find the acceleration of point B.

• 4

50. A body (see figure) performs plane motion. АВ=0.5m, angular velocity =1rad/s, angular acceleration =0. Acceleration of point А at the given instant is =3m/s².

Determine the acceleration of point B.

• 2.5

51. Rod AB is in plane motion. АВ=40сm, =2m/ , =6 m/ .

Find the angular acceleration of the rod AB.

• 10

52. A body performs plane motion. АВ=1m, =1m/ , =8 m/ .

Find the angular velocity of the body.

• None of these

53. Rod AB performs plane motion. АВ=2m, angular velocity of the rod is =1rad/s, angular acceleration =0, acceleration of point А is =0.6m/s².

Determine the acceleration of point B.

• 1.6

54. A body (see diagram) is in plane motion. АВ=1m, =2m/ , = 10m/ .

Find the angular velocity of the body.

• 6.7

55. P oint M moves along a circle of radius R=2.2m. 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 .

• 2.4

56. A 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.

• 

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

• 3

1. Law of motion of a point is given by _, . What trajectory is described by the point?

• Circle

2. Velocity of a load 1 is V. Find angular velocity of the pulley-3.

• V/3r

3. Find angular velocity of a rod AB if .

• 6

58. Disc of radius R=10 m/s rotates about axis Ox with the law rad. Find velocity of a point on the rim of the disc at time t = π sec.

• 20

59. A law of motion of a particle is given by s=5 + 2.5t² . Find velocity of the particle at time t=36s.

• 180

60. Projections of the velocity vector of a point on the coordinate axes are given: , , . Find magnitude of the acceleration vector of the point at time t=1sec.

•