Collar A (mA = 2 kg) and Collar B (mB = 2 kg) each slide with negligible friction along a rod. A spring (k = 100 N/m, l. = 250 mm) is attached to Collar A. Both collars are initially at rest (as shown below) when A is released. All dimensions are given in mm. a. Calculate the velocity of Collar A just before the impact with Collar B. b. The velocity of Collar A + Collar B just after the impact, assuming they "stick together" after the impact. The maximum height h reached by (Collar A & B).

Collar A (mA = 2 kg) and Collar B (mB = 2 kg) each slide with negligible friction along a rod. A spring (k = 100 N/m, l. = 250 mm) is attached to Collar A. Both collars are initially at rest (as shown below) when A is released. All dimensions are given in mm. a. Calculate the velocity of Collar A just before the impact with Collar B. b. The velocity of Collar A + Collar B just after the impact, assuming they "stick together" after the impact. The maximum height h reached by (Collar A & B).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Problem 25.2
Collar A (mA = 2 kg) and Collar B (mB = 2 kg) each slide with negligible friction along a rod. A spring (k =
100 N/m, lo= 250 mm) is attached to Collar A. Both collars are initially at rest (as shown below) when A is
released. All dimensions are given in mm.
a. Calculate the velocity of Collar A just before the impact with Collar B.
b. The velocity of Collar A + Collar B just after the impact, assuming they "stick together" after the
impact.
The maximum height h reached by (Collar A & B).
500
250
R250
h
Ans: (a) 2 <VA < 4 m/s; (b) 0.5 <VA,ƒ < 2.5 m/s; (c) 0.1 <h <1 m
Ans: 3 m/s ≤V ≤ 4 m/s

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Step 2: Spring elongation and potential energy of the mass A.

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