In the figure u is large enough, so that the block does not slip on the wedge. The contact force between the wedge and the block is (g = 10 m/s2) 2kg O = 30° Ancuar
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Answer:
Let the acceleration of system is a
P=(M+m)a
=12a
F.B.D of block w.r.t wedge is
Balancing the force
masin53=mgsin37
N=mgcos37+macos53
a=10∗
5
3
∗
4
5
=7.5m/s
2
F=12∗7.5
=90N
Explanation:
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Given:
Angle of inclination θ = 30°
Mass of block = 2 kg
Gravitational acceleration = 10
To Find: Contact force between block and wedge.
Calculation:
The figure shown below has the following forces:
- A = Normal force perpendicular to the surface of contact.
- B = Vector component of 'mg' = mg cos θ
- D = Vector component of 'mg' = mg sin θ
- E = force due to gravity = mg
- Block does not slip, which means C and D are equal in magnitude.
- Contact force = A = Normal Force = B = mg cos θ = 2*10* cos 30 = 10√3 Newton
Answer:
The contact force between wedge and the block is 10√3 Newtons.
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