- #1
nilly
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hello! this is a question that iv been working on and can't seem to figure it out, i checked out the other two threads on this same question but they were of no help, anyway here it is:
A wedge with mass M rests on a frictionless horizontal table top. 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.
http://tinyurl.com/9zcf7uq
questions: 1.
Calculate the acceleration of the wedge.
Express your answer in terms of M, m, α, and constant g.
2.
Calculate the horizontal component of the acceleration of the block.
Express your answer in terms of M, m, α, and constant g.
3.
Calculate the vertical component of the acceleration of the block.
Express your answer in terms of M, m, α, and constant g.
attempt at solution:
i drew the two free body diagrams and put in the forces.for the mass i have a normal force from wedge up in +y direction and Wcos (theta) down in -y direction, and Wsin(theta) in +x direction
for the wedge i have the normal of ground on wedge in +y direction, normal of block on wedge in -y direction and Wcos(theta) also in - y direction. and for the +x direction i have Wsin (theta)
and i know there is no movement in the y direction so i equated that to zero..
i write the equations for the y and x components down and equate them to get accelaration but i keep getting the wrong answer, help please?
A wedge with mass M rests on a frictionless horizontal table top. 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.
http://tinyurl.com/9zcf7uq
questions: 1.
Calculate the acceleration of the wedge.
Express your answer in terms of M, m, α, and constant g.
2.
Calculate the horizontal component of the acceleration of the block.
Express your answer in terms of M, m, α, and constant g.
3.
Calculate the vertical component of the acceleration of the block.
Express your answer in terms of M, m, α, and constant g.
attempt at solution:
i drew the two free body diagrams and put in the forces.for the mass i have a normal force from wedge up in +y direction and Wcos (theta) down in -y direction, and Wsin(theta) in +x direction
for the wedge i have the normal of ground on wedge in +y direction, normal of block on wedge in -y direction and Wcos(theta) also in - y direction. and for the +x direction i have Wsin (theta)
and i know there is no movement in the y direction so i equated that to zero..
i write the equations for the y and x components down and equate them to get accelaration but i keep getting the wrong answer, help please?