Question

Hi i need help with this question with a b and c I need a drawing and free body diagram of the problem and i need it to be clear and b i need it to be described i cant read the other answer it wasnt clear enough. A block of mass 3.00kg is pushed up against a wall by a force P that makes an angle of θ = 50.0◦ with the horizontal as shown in Figure P5.12. The coefficient of static friction between the block and the wall is 0.250. (a) Determine the possible values for the magnitude of P that allow the block to remain stationary. (b) Describe what happens if |P| has a larger value and what happens if it is smaller. (c) Repeat parts (a) and (b), assuming the force makes an angle of θ = 13.0◦ with the horizontal.

Answer 1

a) Free body diagram

50 Friction mg

b)Frictional force is $\mu N=\mu mg$

From force balancing we have

$Psin50\degree=mg+\mu mg\\ \implies P=\frac{(\mu+1)mg}{sin 50\degree}\\ \implies P=\frac{1.25\times 3\times9.8}{sin 50\degree}\\ \implies P=47.97N$

B)If P is larger then block starts moving up after overccoming friction.

If P is small block starts falling down.

C)

$Psin50\degree=mg+\mu mg\\ \implies P=\frac{(\mu+1)mg}{sin 13\degree}\\ \implies P=\frac{1.25\times 3\times9.8}{sin 13\degree}\\ \implies P=163.37N$

Answer 2

. A block of mass 3.00 kg is pushed up against a wall by a force P that makes an angle of θ = 50.0° with the horizontal as shown in Figure below. The coefficient of static friction between the block and the wall is 0.250. (a) Determine the possible values for the magnitude of P that allow the block to remain stationary. (b) Describe what happens if P has a larger value and what happens if it is smaller. (c) Repeat parts (a) and (b), assuming the force makes an angle of θ = 13.0° with the horizontal.