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

A wedge of mass 4kg and angle 30 degrees is at rest on a smooth horizontal table. a mass of 1kg is placed on the smooth inclined face of the wedge and a horizontal force of 10N is applied to towards the vertical face of the wedge. Show that the acceleration of the wedge is

(40 - root(3g) ) / 17 ~= 1.35m/s.

Also find the reaction force between the wedge and the mass

2. Relevant equations

3. The attempt at a solution

(from diagrams)

Equation of wedge horizontally

4A = 10 - Rsin30 (1)

Equation of mass horizontally

A + acos30 = Rsin30

A = Rsin30 - acos30 (2)

Equation of mass vertically

asin30 = g - Rcos30 (3)

Substitute (2) into (1)

4(Rsin30 - acos30) = 10 - Rsin30

5Rsin30 - 4acos30 = 10

5Rsin30 = 10 + 4acos30

5R* 1/2 = 4a * root(3)/2 + 10

5R/2 = 2 root(3)a + 10

5R = 4root(3)a + 20

R = ((4root(3)a) / 5) + 4

Now I have 'R' in terms of 'a', but I'm not sure where to go. My notes on this trail off...I seem to substitute R back into equation (1), along with equation (2) but that will just give me R in terms of a again.

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

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: Moving Wedges

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