A 0.18-kg ball is placed in a shallow wedge with an opening angle of 170 ? , as

Question

A 0.18-kg ball is placed in a shallow wedge with an opening angle of 170 ? , as shown in the figure (Figure 1).

Part A

For each contact point between the wedge and the ball, determine the force exerted on the ball. Assume the system is frictionless. Determine the Contact force 1.

Express your answer using two significant figures.

Part B

Determine the Contact force 2.

Express your answer using two significant figures.

1 of 1

A 0.18-kg ball is placed in a shallow wedge with an opening angle of 170 ? , as shown in the figure (Figure 1).

Part A

For each contact point between the wedge and the ball, determine the force exerted on the ball. Assume the system is frictionless. Determine the Contact force 1.

Express your answer using two significant figures.

N1 = N

Part B

Determine the Contact force 2.

Express your answer using two significant figures.

N2 = N Figure

1 of 1

Contact force 1 Contact force 2 mg

Explanation / Answer

As we know that;

PartA)
Each incline angel is (90 - 170/2) = 5 degree
force balance in horizontal direction
N1*sin20 = N2*sin20
N1 = N2
force balance in vertical direction
N1*cos5 + N2*cos5= m*g
2*N1*cos5= 0.18*9.81

N1 = 0.88 N
Part B)
N1 = N2 = 0.88 N

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