The wooden block (mass m = 0.5358 kg) is released from rest at A by a compressed spring (compressed length 0.6 m, undeformed length 1 m, spring constant k = 150 N/m). The block is allowed to slide through the rough horizontal surface (A to B), then along the smooth circular ramp (B to C, central angle θ = 47.2°, until the block is released after point C. Calculate the speed of the block at points B and C. Also, what is the magnitude of the normal force exerted to the block just before the block leaves the ramp? Neglect the geometry of the block. NOTE: Use Work-Energy Method to solve for the speeds; use Force-Mass-Acceleration (FMA) Method to compute for the normal force.
The wooden block (mass m = 0.5358 kg) is released from rest at A by a compressed spring (compressed length 0.6 m, undeformed length 1 m, spring constant k = 150 N/m). The block is allowed to slide through the rough horizontal surface (A to B), then along the smooth circular ramp (B to C, central angle θ = 47.2°, until the block is released after point C. Calculate the speed of the block at points B and C. Also, what is the magnitude of the normal force exerted to the block just before the block leaves the ramp? Neglect the geometry of the block. NOTE: Use Work-Energy Method to solve for the speeds; use Force-Mass-Acceleration (FMA) Method to compute for the normal force.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The wooden block (mass m = 0.5358 kg) is released from rest at A by a compressed spring (compressed length 0.6 m, undeformed length 1 m, spring constant k = 150 N/m). The block is allowed to slide through the rough horizontal surface (A to B), then along the smooth circular ramp (B to C, central angle θ = 47.2°, until the block is released after point C. Calculate the speed of the block at points B and C. Also, what is the magnitude of the normal force exerted to the block just before the block leaves the ramp? Neglect the geometry of the block.
NOTE: Use Work-Energy Method to solve for the speeds; use Force-Mass-Acceleration (FMA) Method to compute for the normal force.
Transcribed Image Text:1 m
0.6 m
path of the block
smooth surface
rough surface
Hs = 0.35
%3D
Hik = 0.25
1.5 m
1.5 m
A
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