The left half of the surface of the smooth ramp shown in arc of a circle of radius 10 m, while the right half is de parabolic curve. The two parts transition into each other he origin of the coordinate axes. Block A is allowed to rom rest at the top as shown in Fig. 1. It then moves dov circular are and collides against block B which is initial he origin as shown. The mass of block A, M,= 3kg and t Th

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Question 1
The left half of the surface of the smooth ramp shown in Fig. I is an
arc of a circle of radius 10 m, while the right half is defined by the
parabolic curve . The two parts transition into each other smoothly at
the origin of the coordinate axes. Block A is allowed to slide down
from rest at the top as shown in Fig. 1. It then moves down along the
circular arc and collides against block B which is initially at rest at
the origin as shown. The mass of block A, M,= 3kg and that of block
B, Mg = 1kg. The coefficient of restitution for the impact between
the two blocks is e = 0.85. After the collision, bock B moves upwards
along the parabolic ramp surface. Calculate the normal reaction from
the ramp surface on block B, when it reaches to a point where the x-
coordinate, x = 5 m. Also calculate the maximum height above the x-
axis to which the block A will raise after the collision. Neglect the
dimensions
of
the
blocks.
Y (m)
10
y =
r = 10m
X (m)
Fig. 1
A
Transcribed Image Text:Question 1 The left half of the surface of the smooth ramp shown in Fig. I is an arc of a circle of radius 10 m, while the right half is defined by the parabolic curve . The two parts transition into each other smoothly at the origin of the coordinate axes. Block A is allowed to slide down from rest at the top as shown in Fig. 1. It then moves down along the circular arc and collides against block B which is initially at rest at the origin as shown. The mass of block A, M,= 3kg and that of block B, Mg = 1kg. The coefficient of restitution for the impact between the two blocks is e = 0.85. After the collision, bock B moves upwards along the parabolic ramp surface. Calculate the normal reaction from the ramp surface on block B, when it reaches to a point where the x- coordinate, x = 5 m. Also calculate the maximum height above the x- axis to which the block A will raise after the collision. Neglect the dimensions of the blocks. Y (m) 10 y = r = 10m X (m) Fig. 1 A
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