Newton's Laws: Wedge and block magnitude, acceleration
Not what you're looking for?
A.) A wedge with mass M rests on a frictionless horizontal tabletop. A block with mass m is placed on the wedge. There is no friction between the block and the wedge. The system is released from rest. Calculate:
i) the acceleration of the wedge
ii) the horizontal and vertical components of the acceleration of the block. (Do these answers reduce to the correct results when M is very large?)
b) The wedge and block now have a horizontal force P applied to the wedge. What magnitude must P have if the block is to remain at a constant height above the tabletop?
Purchase this Solution
Solution Summary
The solution carefully explains the problem and solves for the answers.
Solution Preview
a.) let the slope of wedge with horizontal = Q
see freebody diagram in attached jpg file.
Let the acceleration of the wedge is a and the acceleration of block with respect to wedge along the slope is a'.
N = mg.cos(Q) - m.a.sin(Q)
horizontal component of N on wedge:
Nh = {mg.cos(Q) - ma.sin(Q)}.sin(Q)= mgcos(Q).sin(Q) -ma.sin^2(Q)
vertical component of N:
Nv = {mg.cos(Q) - ma.sin(Q)}.cos(Q) = mg.cos^2(Q) - ...
Education
- BEng, Allahabad University, India
- MSc , Pune University, India
- PhD (IP), Pune University, India
Recent Feedback
- " In question 2, you incorrectly add in the $3.00 dividend that was just paid to determine the value of the stock price using the dividend discount model. In question 4 response, it should have also been recognized that dividend discount models are not useful if any of the parameters used in the model are inaccurate. "
- "feedback: fail to recognize the operating cash flow will not begin until the end of year 3."
- "Answer was correct"
- "Great thanks"
- "Perfect solution..thank you"
Purchase this Solution
Free BrainMass Quizzes
Variables in Science Experiments
How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.
Classical Mechanics
This quiz is designed to test and improve your knowledge on Classical Mechanics.
Introduction to Nanotechnology/Nanomaterials
This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.
Intro to the Physics Waves
Some short-answer questions involving the basic vocabulary of string, sound, and water waves.
Basic Physics
This quiz will test your knowledge about basic Physics.