1. The problem statement, all variables and given/known data(adsbygoogle = window.adsbygoogle || []).push({});

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.

A. Calculate the acceleration of the wedge.

B. Calculate the horizontal component of the acceleration of the block.

C. Calculate the vertical component of the acceleration of the block.

D. Do your answers to part A reduce to the correct result when M is very large?

E. Now, an additional horizontal force F is being applied as shown in part (b) of the figure. What must be the magnitude of F if the block is to remain at a constant height above the tabletop?

2. Relevant equations

F=ma

3. The attempt at a solution

I know that if wedge stayed stationary then acceleration of block would be gsin(theta). I know normal reaction must be related to the accelleration of the wedge. I should imagine that mg=M*(acceleration of wedge)+m*(acceleration of block). Does the normal reaction = mgsin(theta)-(M*acceleration of wedge)? I'm really struggling with this one. I think I will be able to manage it if i new how to calculate the acceleration of the wedge. Then I could use newtons 3rd law to calculate acceleration of block and then continue from there. Any help would be appreciated. Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Mechanics: mass on moving slope. no friction

**Physics Forums | Science Articles, Homework Help, Discussion**