The uniform slender rod of mass m and length L is released from rest in the inve

Question

The uniform slender rod of mass m and length L is released from rest in the inverted vertical position shown. Neglect friction and the mass of the small end roller and find the initial acceleration of A. Evaluate your result for = 20°, L = 490 mm, and m = 5.0 kg. The acceleration is positive if down the slope, negative if up the slope.

Chapter 6, Problem 6/095 (Supplemental) The uniform slender rod of mass m and length Lis released from rest in the invented vertical position shown. Neglect friction and the mass of the small end roller and find the initial acceleration of A. Evaluate your result for 8 20 L 490 mm, and m 5.0 kg. The acceleration is positive if down the slope, negative if up the slope. m/s Answer: aA the tolerance is +/-1 in the 3rd significant digit

Explanation / Answer

According to the question,

Calculate the formula,

aA = (4g sin(q))/(cos2(q)+4sin2(q))

q = 20o (given)

aA = (4x9.81 sin(20))/(cos2(20)+4sin2(20))

= 9.9345m/sec2

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