Find the impulse exerted on the wedge by the ground during impact

AI Thread Summary
The discussion centers on the impulse exerted on a wedge during impact, questioning the correct calculation of this impulse. Participants agree that the net vertical impulse on the wedge should be zero and that the ground exerts an impulse of J cos 30°. However, there is confusion regarding a provided answer of J sin 30°, which one participant believes is incorrect. Clarification is sought regarding where the sin value is mentioned, as it appears to be a misunderstanding related to the problem's sub-parts. The conversation highlights the importance of accurately interpreting the problem's components to determine the correct impulse calculation.
baldbrain
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Homework Statement
This is a lengthy question with many sub-parts but I have a doubt about just one of them.
A ball of mass 1 kg falling vertically downwards with a velocity of 2 m/s strikes a wedge of mass 2 kg kept on a smooth horizontal surface. The given figure shows the motion of the ball during impact. Find the impulse on the wedge from the ground during impact.
Relevant Equations
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15608384772188975631598041741577.jpg

Now, the net vertical impulse on the wedge should be zero. It's quite obvious from the figure that the ground will also exert an impulse of ##J cos 30°## on the wedge. But they've given the answer as ##J sin 30°##.
They're wrong, right?
 
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baldbrain said:
But they've given the answer as ##J sin 30°##.
They're wrong, right?
Yes, it’s the cos, but everything in the image you posted looks right. Where do they say it is sin?
 
haruspex said:
Yes, it’s the cos, but everything in the image you posted looks right. Where do they say it is sin?
At the end of the problem (not in this image). As I said, it has many sub-parts.
Thanks for the clarification.
 
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