21. Blocks of mass m; and ma are connected by a massless string that pulls over the pulley in the figure. The table is frictionless. The pulley is a frictionless disk, but it does have mass Ma and radius R (La=1/2MR). Consider that mz is initially hanging at rest H meters above the ground. a. Write the general formulas for the translational KE, rotational KE, gravitational PE, spring PE. Translational KE Gravitational PE Rotational KE Spring PE Using any or all of those energies from Part a. that apply to this question and identifying the ground as the point of "zero height", what is the total energy of the system initially (in terms of H, R, m m, m, and g-any or all of these may be used)? 1 m, m;gH Ia b. Using any of those energies from Part a. that apply to this question and identifying the ground as the point of "zero height", what is the total energy of the system just as block ma is hitting the floor (in terms of H, R, mg, mı, ma, and g. any or all of these may be used)? 1 1 1 m +m,v+ + M,gH mv² +m,v² + -M,v 2 1 (m, + m, + M,)v² e. IfH=50.0 cm, R=4.00 cm, Ma = 2.00 kg, m2 = 10.0 kg, and mi = 4.00 kg, using Conservation of Energy (there is no work done by non-conservative forces in the system of the two blocks and the pulley), find the final speed of ma just as it reaches the ground (in terms of H, R. m, mi, m2., and g.. any or all of these may be used).
21. Blocks of mass m; and ma are connected by a massless string that pulls over the pulley in the figure. The table is frictionless. The pulley is a frictionless disk, but it does have mass Ma and radius R (La=1/2MR). Consider that mz is initially hanging at rest H meters above the ground. a. Write the general formulas for the translational KE, rotational KE, gravitational PE, spring PE. Translational KE Gravitational PE Rotational KE Spring PE Using any or all of those energies from Part a. that apply to this question and identifying the ground as the point of "zero height", what is the total energy of the system initially (in terms of H, R, m m, m, and g-any or all of these may be used)? 1 m, m;gH Ia b. Using any of those energies from Part a. that apply to this question and identifying the ground as the point of "zero height", what is the total energy of the system just as block ma is hitting the floor (in terms of H, R, mg, mı, ma, and g. any or all of these may be used)? 1 1 1 m +m,v+ + M,gH mv² +m,v² + -M,v 2 1 (m, + m, + M,)v² e. IfH=50.0 cm, R=4.00 cm, Ma = 2.00 kg, m2 = 10.0 kg, and mi = 4.00 kg, using Conservation of Energy (there is no work done by non-conservative forces in the system of the two blocks and the pulley), find the final speed of ma just as it reaches the ground (in terms of H, R. m, mi, m2., and g.. any or all of these may be used).
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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