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A 0.15-kg ball is placed in a shallow wedge with an
Chapter 6, Problem 39P(choose chapter or problem)
A 0.15-kg ball is placed in a shallow wedge with an opening angle of \(120^\circ\), as shown in Figure 6–27. For each contact point between the wedge and the ball, determine the force exerted on the ball. Assume the system is frictionless.
Equation Transcription:
Text Transcription:
120^o
m vec{g}
Questions & Answers
QUESTION:
A 0.15-kg ball is placed in a shallow wedge with an opening angle of \(120^\circ\), as shown in Figure 6–27. For each contact point between the wedge and the ball, determine the force exerted on the ball. Assume the system is frictionless.
Equation Transcription:
Text Transcription:
120^o
m vec{g}
ANSWER:
Step 1 of 2
We have to find the force exerted on a ball which is placed in a shallow wedge with an opening angle of \(120^{\circ}\), as shown in figure below.
The force exerted on the ball can be determined by writing the equation for the net force in \(y\) direction.
\(\Sigma F_{y}=0\)
\(F_{1} \cos 30^{\circ}+F_{2} \cos 30^{\circ}-m g=0\) (Assume the system is frictionless)
where,
\(F_{1}\)and \(F_{2}\) are contact forces in \(N\)
\(m=\) mass of the ball \(=0.15 \mathrm{~kg}\)
\(g=9.81 \mathrm{~m} / \mathrm{s}^{2}\)