PHYS_10_8_V1_DM_Curvilinear motion

Didactic material #1

1.https://www.youtube.com/watch?v=cMoxpJBcivs

Answer the questions below on the video

 What is the trajectory of the attraction?

 What do you know of the body similar to the movement of the attraction?

 What quantites can describe its movement

 During its movement, what quantities can remain constant?

Didactic material #2

2.Using a textbook complete suggestions below (https://bilimland.kz/en/courses/physics-en/mechanics/kinematics/lesson/curvilinear-motion)

1.The motion is curvilinear, because its trajectory

.....................................................................

2.Body movement along a curved is even because.....................................................................

3.Speed vector direction...............................................................

4.direction of accelerated vector

.......................................................................................................................................................................................................................................................................................................................................................................(show on the chart)

3. (https://bilimland.kz/kk/courses/physics-kk/mexanika/kinematika/lesson/buryshtyq-zhyldamdyq-zhane-buryshtyq-udeu)

Introduction with the quantities describing curvilinear quantities

Radian and degrees

Angular velocity

Angular velocity and linear velocity

Angular acceleration

Translational and rotational motion

Angular acceleration and linear acceleration

Didactic material #3

Data needed to answer questions can be found in the Data, formulae and relationships sheet.

1    Convert the following angles into radians.

a    30°                                                                                                                                  [1]

b   210°                                                                                                                                [1]

c    0.05°                                                                                                                               [1]

2    Convert the following angles from radians into degrees.

a    1.0 rad                                                                                                                             [1]

b   4.0 rad                                                                                                                             [1]

c    0.15 rad                                                                                                                           [1]

3    The planet Mercury takes 88 days to orbit once round the Sun.
Calculate its angular displacement in radians during a time interval of:

a    44 days                                                                                                                           [1]

b   1 day.                                                                                                                              [1]

4    In each case below, state what provides the centripetal force on the object.

a    A car travels at a high speed round a sharp corner.                                                        [1]

b   A planet orbits the Sun.                                                                                                  [1]

c    An electron orbits the positive nucleus of an atom.                                                       [1]

d   Clothes spin round in the drum of a washing machine.                                                 [1]

5    The diagram shows a stone tied to the end of a length of string.
It is whirled round in a horizontal circle of radius 80 cm.

The stone has a mass of 90 g and it completes 10 revolutions in a time of 8.2 s.

a    Calculate:

i     the time taken for one revolution                                                                             [1]

ii    the distance travelled by the stone during one revolution (this distance is equal to the circumference of the circle)                                                                                                             [1]

iii   the speed of the stone as it travels in the circle                                                        [2]

iv   the centripetal acceleration of the stone                                                                   [3]

v    the centripetal force on the stone.                                                                            [2]

b   What provides the centripetal force on the stone?                                                         [1]

c    What is the angle between the acceleration of the stone and its velocity?                    [1]

6    A car of mass 820 kg travels at a constant speed
of 32 m s⁻¹ along a banked track.
The track is banked at an angle of 20°
to the horizontal.

a    The net vertical force on the car is zero.
Use this to show that the contact force R on the car is 8.56 kN.                                    [2]

b   Use the answer from a to calculate the radius of the circle described by the car.         [4]

7.   A stone of mass 120 g is fixed to one end of a light rigid rod.

The stone is whirled at aconstant speed of 4.0 m s⁻¹in a vertical circle of radius 80 cm.

Calculate the ratio:                                                                       [6]

Didactic material #4

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