Math: Applications of Dot Product

posted by .

15) In Question 14, if the ramp makes an angle of 20 degrees with the level ground. Find the magnitude of the force tending to lift the crate vertically.

++++Textbook Answer for Question 15: 108.3 N

----

14) A crate is being dragged up a ramp by a 125 N force applies at an angle of 40 degrees to the ramp. Find the magnitude of the force in the direction of motion (Answer is 95.8 N).

-----

+++++Please provide a step by step solution to this problem (question 15)! I really don't know what I'm doing! I know the answer, but I don't know how to get that answer! Thank you.

  • Math: Applications of Dot Product -

    14)
    F vector at 40 degrees to motion direction Call Unit vector up ramp parallel to ramp Au.
    The component of F in the direction of Au is
    F dot Au = |F| * 1 cos (40) = 125(.766) = 95.8 Newtons

    15) The 125 N is at 20+40 = 60 degrees from horizonal, so at 30 degrees from vertical
    125 cos 30 = 108.3 N

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Discrete Math: Applications of Dot Product

    A 35-kg trunk is dragged 10m up a ramp inclined at an angle of 12 degrees to the horizontal by a force of 90 N applied at an angle of 20 degrees to the ramp. At the top of the ramp, the trunk is dragged horizontally another 15m by …
  2. Math: Dot Product

    A box with a weight of 215 N rests on a ramp. There is a frictional force of 27 N exerted on the box directed up the ramp. If the ramp is inclined at 30 degrees, what force must be applied at an angle of 40 degrees to the ramp to maintain …
  3. physics

    Kenny pulls with a force of 850 N. Justin pushes with a force of 650 N. The crate weighs 1250 N and sits on a ramp that is 40 degrees from the horizontal. Tyler is pushing at an angle of 35 degrees with respect to the crate. There …
  4. Physics

    A 45 kg crate is placed on an inclined ramp. When the angle the ramp makes with the horizontal is increased to 29 degrees, the crate begins to slide downward. What is the coefficient of static friction between the crate and the ramp?
  5. calculus

    A box is dragged with a force of 115 N up a ramp a distance of 3 m. If the force makes an angle of 35 degrees with the ramp and the ramp makes an angle of 20 degrees with the ground, how much work is done?
  6. Calculus

    A box is dragged with a force of 115 N up a ramp a distance of 3 m. If the force makes an angle of 35 degrees with the ramp and the ramp makes an angle of 20 degrees with the ground, how much work is done?
  7. Dot Product 1

    A crate is dragged 3m along a smooth level floor by a 30n force applied at 25deg to the floor. Then it is pulled 4m up a ramp inclined at 20deg to the horizontal, using the same force. Then, the crate is dragged a further 5m along …
  8. Calculus - Dot Product

    A crate is dragged 3m along a smooth level floor by a 30n force applied at 25deg to the floor. Then it is pulled 4m up a ramp inclined at 20deg to the horizontal, using the same force. Then, the crate is dragged a further 5m along …
  9. Physics

    A 19 kg crate is placed on an inclined ramp. When the angle the ramp makes with the horizontal is increased to 23.2 degrees the crate begins to slide downward. what is the coefficient of static friction between the crate and the ramp?
  10. Physics

    An 100.0-N crate of apples sits at rest on a ramp that runs from the ground to the bed of a truck. The ramp is inclined at 29.0° to the ground. (b) The interaction partner of this normal force has what magnitude and direction?

More Similar Questions