Mechanics 1. Resolving Forces/Friction

A small toy has mass 1.2kg. When a child tries to move the toy along a horizontal floor by pushing with a force of magnitude 5N, acting downwards at an angle of 30deg to the horizontal as shown in Fig. 1, she is unsuccessful. When the child tries to move the toy by pulling with a force of magnitude 5 N, acting upwards at an angle of 30deg to the horizontal as shown in Fig. 2, she is successful. Show that the coefficient of friction between the toy and the floor lies between 0.30 and 0.47to 2sf.

Here's what I did so far:

Reply 1

zrancis

When resolving vertically to find R where is the component of the weight?

R = 5sin30 + 1.2g
R = 1.2g - 5cos20

Reply 2

steve2005

superstarrr

Here

Picture 35.png49.6KB

Reply 3

Square

Ah so it works if you take the resultant force for figure b to be 0, surely there would be some kind of resultant force F=ma in the positive horizontal (i) direction if movment occurs?

Reply 4

superstarrr

thanks a lot

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