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

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SUMMARY

The discussion centers on the calculation of the impulse exerted on a wedge during impact, specifically addressing the discrepancy between the expected impulse of J cos 30° and the provided answer of J sin 30°. Participants confirm that the correct impulse is indeed J cos 30°, as indicated by the net vertical impulse on the wedge being zero. The confusion arises from the presentation of the answer in the problem's sub-parts, which leads to misinterpretation.

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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
None
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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