Here, this one, on the right


on the left is a Physics book that explain many things thoroughly like acceleration, velocity, speed, displacement, physical quantities etc. one by one. I just found the book this afternoon and I find it helpful although some are really advanced physics which I haven't learn but it also covers many basic things

Car, m1 = 1000kg
Mass/Load, m2 = 600 kg


Driving force
= Force going down the slope + friction + acceleration
= (m1+m2)g sin x + 200 + 100 + (m1+m2)(1.2)
= (1600)(10) sin 2.862 + 300 + (1600)(1.2)
= 3018.89N

Tension of tow bar
= m2 g sin x + 100 + m2(1.2)
= (600)(10) sin 2.862 + 100 + (600)(1.2)
= 1119.58N

恭喜发财，马到成功！

To solve this problem, you have to develop the equations of motion which require a relationship between the forces acting on a particle and the accelerated motion they cause.



The general technique is to write down the equation you get by applying Newton’s 2nd law to the combined particle ‘car + caravan’, and then solve the equation for the unknown. To do that, you are advised to draw separate force diagrams for car and caravan. Drawing this diagram is very important since it provides a graphical representation that accounts for all the forces which act on the particle, and thereby makes it possible to resolve these forces into their x, y components in 2-D.



It is also common to assume in a model like this that the tow bar is inextensible. That means it will not stretch. For mathematical convenience, we generally assume that the sense of each acceleration component acts in the same direction of as its positive inertial coordinate axis (denoted by the right-arrow notation → for horizontal axis, and the up-arrow notation ↑ for vertical axis).



I do one example (Part B). We are mainly concerned with the horizontal components because we want to determine the tension T. Ask Krevaki or kingkingyyk to check!

CLASSIC PROBLEMS ::

The main objective is to help you to develop the ability to analyze classic problems in a simple and logical manner and to apply to its solution a few, well-understood, basic Physics principles.

Question 1

The two blocks shown start from rest. The horizontal plane and the pulley are frictionless, and the pulley is assumed to be of negligible mass. Determine the acceleration of each block and the tension in each cord.



(Ans :: a_A = 8.40 m/s², a_B = 4.20 m/s², T_ADC = 840 N, T_CB = 1680 N)

Question 2

The bob of a 2-m pendulum describes an arc of circle in a vertical plane. If the tension in the cord is 2.5 times the weight of the bob for the position shown, find the velocity and the acceleration of the bob in that position.



(Ans :: a_T = 4.90 m/s², a_N = 16.03 m/s², v = ±5.66 m/s)

Question 3

Determine the rated speed of a highway curve of radius r = 125 m banked through an angle u = 18°. The rated speed of a banked highway curve is the speed at which a car should travel if no lateral friction force is to be exerted on its wheels.



(Ans :: 71.8 km/h)

Apply the conservation of momentum and energy to the 2-ball Newton's Cradle where ball B is a glueball. When one ball A is pulled away to a height h and is let to fall, it strikes the ball B at rest with a velocity u(t)|final and the colliding balls stick and move together to new height h' with a new velocity v(t)|initial.

Conservation of energy before the collision: From max potential energy (u = 0) to max kinetic energy (final u(t) = max u)



Conservation of momentum: Before and after the collision



Conservation of energy after the collision: From max kinetic energy (initial v(t) = max v) to max potential energy (v = 0)



How did you get in the first place?