Three blocks are connected. Block A with mass mA is attachedon one side to a ver

Question

Three blocks are connected. Block A with mass mA is attachedon one side to a vertical spring and on the other with a rope whichconnects to one side of block B. Block B with mass mB sits on arough table and is connected by a rope to block C with mass mCwhich hangs o the table. Both pulleys are massless andfrictionless. Initially, all three blocks are held at rest in aposition where the spring connected to block A is at itsequilibrium position. Once released, blocks A and C drop and blockB slides to the right across the table. What maximum distance willall three blocks move before momentarily coming to rest? I am not sure where to start. Thanks in advance. Three blocks are connected. Block A with mass mA is attachedon one side to a vertical spring and on the other with a rope whichconnects to one side of block B. Block B with mass mB sits on arough table and is connected by a rope to block C with mass mCwhich hangs o the table. Both pulleys are massless andfrictionless. Initially, all three blocks are held at rest in aposition where the spring connected to block A is at itsequilibrium position. Once released, blocks A and C drop and blockB slides to the right across the table. What maximum distance willall three blocks move before momentarily coming to rest? I am not sure where to start. Thanks in advance.

Explanation / Answer

Since the values of masses are not given, we don't know whether mAis going up or down. Assume mA is moving down a distance x, initial energy = 0 final energy = kx2/2 - mAgx +mCgx work done by friction = -mBgx -mBgx = kx2/2 - mAgx +mCgx -mBg = kx/2 - mAg + mCg x = 2(mA - mC -mB)g/k

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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