Inclined Plane question pls help (1 Viewer)

iloveschool1. · Apr 30, 2022

Could someone please explain how to solve this question involving acceleration. Thankyou

jimmysmith560 · Apr 30, 2022

It appears that there is a similar version of this question where the frictional force is given instead of the acceleration (the mutual parts are in bold), as follows:

A 40 kg block sits on a ramp which is inclined at 30° as shown in the diagram. The ramp applies a frictional force of $0.18\:N\:kg^{-1}$ on the block.

a) Copy the diagram and label all the forces acting on it.
b) By drawing a vector diagram, show that there is a net force acting on the block.
c) Calculate the component of the weight force acting parallel to the ramp.
d) Calculate the total frictional force acting on the block.
e) Calculate the net force acting on the block.
f) What will be the acceleration of the block?

The solutions to this question are as follows:

Part (a):

Part (b):

The forces acting along the ramp are:

$\bg_white mg\, sin\, 30^{\circ} = 40 imes 9.8 imes 0.5 = 196\, N$

$\bg_white f = 40 imes 0.18 = 7.2 \, N$

Hence, there will be a net downward force acting on the block.

Part (c):

Component of weight force acting parallel to the ramp is:

$\bg_white mg\, sin\, 30^{\circ} = 40 imes 9.8 imes 0.5 = 196\, N$

Part (d):

The total frictional force acting on the block is:

$\bg_white f = 40 imes 0.18 = 7.2 \, N$

Part (e):

The net force acting on the block is

$F = 196-7 .2= 188.8\,\, N$

Part (f):

The acceleration of the block will be:

$a= 188.8/40 = 4.72 \,\, m/s^{2}$

Perhaps having a close look at this question and its solutions can assist you in solving your question?

I hope this helps!

Inclined Plane question pls help (1 Viewer)

iloveschool1.

New Member

jimmysmith560

Le Phénix Trilingue

Users Who Are Viewing This Thread (Users: 0, Guests: 1)