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Old Oct 28th 2018, 03:05 PM   #1
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Box on a wedge, no friction

A box with mass m=0.5kg appears on top of a wedge with mass M=3,5kg. Wedge is inclined by 35. Assume no friction exists anywhere and calculate acceleration of both block and wedge.

How to solve this? Is it possible to solve this using momentum?
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Old Oct 28th 2018, 06:49 PM   #2
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There is a downward force of 0,5g Newtons. Divide that into components along the slant side of the wedge and perpendicular to it. The force along the slant side gives ma for the mass in that direction and the normal force pushes the wedge.
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Old Oct 29th 2018, 02:23 AM   #3
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So if I divide Fg into components along to the incline, there Is force Fx pushing the box downwards a Fy pushing the wedge. If Fx = m.gx then gx = g.sin 35 = 5,6. (acceleretion of the box) Force Fy Is m.g.cos 35 = 4N. Then force that pushes the wedge Is F= Fy.sin 35 = 2,3N so acceleration of wedge is a = F/ M = 0.6
Is there a mistske?
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Old Oct 29th 2018, 09:13 AM   #4
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Galileo's Inclined Plane

Isiltir! This might be helpful.

Galileo's Inclined Plane

Good Luck with your studies, JP
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