projectile motion

A projectile is thrown with a speed u at an angle theta to an inclined plane of inclination beta. Find the angle theta at which the projectile is thrown at such that it strikes the inclined plane horizontally.
18 Replies
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@Gyro Gearloose
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Bedstorm
Bedstorm8mo ago
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hardcoreisdead
hardcoreisdeadOP8mo ago
I deduced that velocity is horizontal when the projectile is at max height for normal projectile motion Therefore is considered it a case of normal projectile motion with an angle of theta+beta Found ymax and x which is R/2 Used eqn of trajectory and now getting theta+beta=45 This is striking normally I've done this part
Bedstorm
Bedstorm8mo ago
wdym by striking horizontally then?
hardcoreisdead
hardcoreisdeadOP8mo ago
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hardcoreisdead
hardcoreisdeadOP8mo ago
Pls point out my error
hardcoreisdead
hardcoreisdeadOP8mo ago
I solved with another method but I need the answer in tan
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Bedstorm
Bedstorm8mo ago
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hardcoreisdead
hardcoreisdeadOP8mo ago
i got the same value
Opt
Opt8mo ago
I got $$\theta=arctan(\frac{sin2\beta}{2})$$
TeXit
TeXit8mo ago
Opt
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Opt
Opt8mo ago
@hardcoreisdead
hardcoreisdead
hardcoreisdeadOP8mo ago
This is from physics galaxy
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hardcoreisdead
hardcoreisdeadOP8mo ago
I believe this is wrong Instead of 4 there should be 2 rest same
Bedstorm
Bedstorm8mo ago
yea i found an online solution which has 2 the book most probably has a printing error
iTeachChem
iTeachChem8mo ago
+solved @Bedstorm @Opt
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