Problem 4.52 Part A Mass mArests on a smooth horizontal surface, mB hangs vertic

Question

Problem 4.52 Part A Mass mArests on a smooth horizontal surface, mB hangs vertically. If mA=14.0 kg and mB-3.0 kg in the figure { Figure 1). determine the magnitude of the acceleration of each block. Enter your answers numerically separated by a comma. Express your answers using two significant figures. ; 8.1,1.7 ] Submit My Answers Give Up Incorrect; Try Again; 3 attempts remaining Part B If initially mA is at rest 1.300 m from the edge of the table, how long does it take to reach the edge of the table if the system is allowed to move freely? Express your answer using two significant figures. t0.82 Submit My Answers Give Up | Figure 1 of 1 Incorrect; Try Again; 4 attempts remaining I1 Part C If mB=1.0kg, how large must mA be if the acceleration of the system is to be kept at 1 100 g? Express your answer using two significant figures. 11ng kg Submit My Answers Give Up

Explanation / Answer

a) T = mA * a ---------(1)

mB * g - T = mB * a --------(2)

substitute (1) in (2)

mB * g - mA * a = mB * a

mB * g = (mA + mB ) a

a = mB * g / (mA + mB ) = (3 * 9.8) / (14 + 3)

a = 1.73 m/s2

b) t = sqrt [2 s / a] = sqrt [2 * 1.30 / 1.73]

t = 1.22 s

c) (mA + mB) * a/g = mB

mA = mB (g / a - 1) = 1 * (100 - 1)

mA = 99 kg

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.