B lc A la Wa Given: The foam's density: p = 130 kg/ m³ The foam's thickness: t = 0.6 c m . Assume each cut-out is a rectangular plate and the foam acts as a rigid body. Plate A's length 1_A= 48 cm Plate A's width w A =7 cm Plate B's length 1_B = 8 cm Plate B’s width w_B = 28 cm Plate C is identical to plate D, Plate C's length 1_C = 12 cm Plate C's width w_C =8 cm . Plate C and D are attached to plate B such that their centers line up. Find: If point P acts like a pin and the hammer rotates about that point, what is the moment of inertia of the hammer?
B lc A la Wa Given: The foam's density: p = 130 kg/ m³ The foam's thickness: t = 0.6 c m . Assume each cut-out is a rectangular plate and the foam acts as a rigid body. Plate A's length 1_A= 48 cm Plate A's width w A =7 cm Plate B's length 1_B = 8 cm Plate B’s width w_B = 28 cm Plate C is identical to plate D, Plate C's length 1_C = 12 cm Plate C's width w_C =8 cm . Plate C and D are attached to plate B such that their centers line up. Find: If point P acts like a pin and the hammer rotates about that point, what is the moment of inertia of the hammer?
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Transcribed Image Text:Wc
B
lc
A
la
Wa
Given:
The foam's density: p = 130 kg/m
The foam's thickness: t= 0.6 c m .
Assume each cut-out is a rectangular plate and the foam acts as a rigid body. Plate A's length 1_A = 48 cm
Plate A's width w_A = 7 cm
Plate B's length 1_B = 8 cm
Plate B's width w B = 28 cm
Plate C is identical to plate D,
Plate C's length 1_C = 12 cm
Plate C's width w_C =8 cm.
Plate C and D are attached to plate B such that their centers line up.
Find:
If point P acts like a pin and the hammer rotates about that point, what is the moment of inertia of the hammer?
Expert Solution
Step 1
Let ρ denotes the density, lA denotes the plate A’s length, wA denotes the plate A’s width, t denotes the thickness, and mA denotes the plate A’s mass. Therefore,
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