A mass m = 0.25 kg is dropped at rest on top of an inclined plane of 0 = 30°, free of friction, of length L. The mass, after a straight stretch of length d = 5 m, stops after compressing a spring of elastic constant k = 60 N/m, of x = 0.5 m. How much is L? It is now present along the inclined plane and the straight section a friction with μd = 0.2. From what height L' must fall the block to have the same compression of the spring? "Il
A mass m = 0.25 kg is dropped at rest on top of an inclined plane of 0 = 30°, free of friction, of length L. The mass, after a straight stretch of length d = 5 m, stops after compressing a spring of elastic constant k = 60 N/m, of x = 0.5 m. How much is L? It is now present along the inclined plane and the straight section a friction with μd = 0.2. From what height L' must fall the block to have the same compression of the spring? "Il
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Please Answer Q2 (a) and (b) step-wise with detailed explanations
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Transcribed Image Text:Q2 EC
Answer step-wise with detailed explantions
(a) A mass m = 0.25 kg is dropped at rest on top of an
inclined plane of 0 = 30°, free of friction, of length L. The
mass, after a straight stretch of length d = 5 m, stops
after compressing a spring of elastic constant k = 60
N/m, of x = 0.5 m. How much is L ? It is now present
along the inclined plane and the straight section a
friction with μd = 0.2. From what height L' must fall the
block to have the same compression of the spring?
(b) A material point is abandoned with speed vo = 0 m/s on
the edge of a hemispherical vessel of radius r = 25 cm,
with smooth walls. What speed will it have when it
passes through lowest point H? Which is the speed of
the material point when it passes through lowest point
H, if it starts from the position A ( 0 = 35°)?
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Step 1: Question a) Given data:
VIEWStep 2: Free body diagram of the object on inclined plane:
VIEWStep 3: Calculation of velocity at the bottom of the plane:
VIEWStep 4: Calculation of Length L:
VIEWStep 5: Free body diagram when friction is there:
VIEWStep 6: Calculation of work done by all forces:
VIEWStep 7: Calculation of L' using work energy theorem:
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