i) ii) Problem 2: A box with a mass of 50 kg is sliding down a frictionless ramp with a velocity of (-10, -7.5) m/sec at time t = 0. Note that the force F₁ acts parallel to the ramp. Gravity is pointing downwards (negative y-direction). Given this information, answer the questions below. F2 = 80 N F₁ = 60 N y 3 4 0 x What is the acceleration of the box? Please report answer as a vector with respect to the Cartesian Coordinate system provided. What is the velocity of the box after 2 seconds have elapsed? Please report answer as a vector with respect to the Cartesian Coordinate system provided.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter10: Force And Force-related Variables In Engineering
Section: Chapter Questions
Problem 28P
Question

Please solve using cartesian coordinates. Be clear about why cos or sin is used (explain the trig). Make sure to account for the normal force.

i)
ii)
Problem 2: A box with a mass of 50 kg is sliding down a frictionless ramp with a velocity of
(-10, -7.5) m/sec at time t = 0. Note that the force F₁ acts parallel to the ramp. Gravity is
pointing downwards (negative y-direction). Given this information, answer the questions below.
F2 = 80 N
F₁ = 60 N
y
3
4
0
x
What is the acceleration of the box? Please report answer as a vector with respect to
the Cartesian Coordinate system provided.
What is the velocity of the box after 2 seconds have elapsed? Please report answer as
a vector with respect to the Cartesian Coordinate system provided.
Transcribed Image Text:i) ii) Problem 2: A box with a mass of 50 kg is sliding down a frictionless ramp with a velocity of (-10, -7.5) m/sec at time t = 0. Note that the force F₁ acts parallel to the ramp. Gravity is pointing downwards (negative y-direction). Given this information, answer the questions below. F2 = 80 N F₁ = 60 N y 3 4 0 x What is the acceleration of the box? Please report answer as a vector with respect to the Cartesian Coordinate system provided. What is the velocity of the box after 2 seconds have elapsed? Please report answer as a vector with respect to the Cartesian Coordinate system provided.
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