# A truck pulls boxes up an incline plane. The truck can exert a maximum force of #4,800 N#. If the plane's incline is #(2 pi )/3 # and the coefficient of friction is #9/8 #, what is the maximum mass that can be pulled up at one time?

I found

I was not sure about the angle so I tried a possible configuration.

In * I consider the acceleration of the truck as zero meaning that is about to move;

In * * I rounded down the value to say that is a bit less than the value obtained so that the truck will certainly move. Also this value will be the sum between the mass of the load AND of the truck itself.

Have a look at the maths anyway...only to be on the safe side!

By signing up, you agree to our Terms of Service and Privacy Policy

The maximum mass that can be pulled up at one time is approximately 492.07 kg.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < -5 N , 8 N># and the second is #F_2 = < -2 N, 3 N>#. What is the object's rate and direction of acceleration?
- What is the angular range for #theta#, for which the masses will not move in the following diagram?
- An object with a mass of #5 kg# is on a surface with a kinetic friction coefficient of # 4 #. How much force is necessary to accelerate the object horizontally at # 12 m/s^2#?
- How do vehicles vertically take off or land?
- How fast will an object with a mass of #16 kg# accelerate if a force of #20 N# is constantly applied to it?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7