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1)Write the time derivative of the usual basis vectors in polar coordinates in terms of ø . Use these relation to compute the acceleration of a point mass (in vector form). Find kinetic energy of point mass m in polar coordinates. 2)In the figure above the pulley and mass m2 form a pendulum of variable length. Size of mass m2 is so small that it can be treated as a point mass. Initially mass m, is at y=0 and length of the pendulum is Lo and angle ø = a / 3. Initial velocities are zero. At the instant mass m; reaches y= Lo/4 the angle Ø = n | 4 the angular velocity is measured as 2rad/sec. What is time derivative of the length of the pendulum (the rope slides over the pulley without friction, rope is massless) 3) Find accelerations for ø = 7 / 4 st

1)Write the time derivative of the usual basis vectors in polar coordinates in terms of ø . Use these relation to compute the acceleration of a point mass (in vector form). Find kinetic energy of point mass m in polar coordinates. 2)In the figure above the pulley and mass m2 form a pendulum of variable length. Size of mass m2 is so small that it can be treated as a point mass. Initially mass m, is at y=0 and length of the pendulum is Lo and angle ø = a / 3. Initial velocities are zero. At the instant mass m; reaches y= Lo/4 the angle Ø = n | 4 the angular velocity is measured as 2rad/sec. What is time derivative of the length of the pendulum (the rope slides over the pulley without friction, rope is massless) 3) Find accelerations for ø = 7 / 4 st

Elements Of Electromagnetics
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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M, 1)Write the time derivative of the usual basis vectors in polar coordinates in terms of ø. Use these relation to compute the acceleration of a point mass (in vector form). Find kinetic energy of point mass m in polar coordinates. 2)In the figure above the pulley and mass m2 form a pendulum of variable length. Size of mass m2 is so small that it can be treated as a point mass. Initially mass mi is at y=0 and length of the pendulum is Lo and angle ø =n/3. Initial velocities are zero. At the instant mass m, reaches y= Lo/4 the angle Ø = n |4 the angular velocity is measured as 2rad/sec. What is time derivative of the length of the pendulum (the rope slides over the pulley without friction, rope is massless) 3) Find accelerations for ø = n/4
Transcribed Image Text:M, 1)Write the time derivative of the usual basis vectors in polar coordinates in terms of ø. Use these relation to compute the acceleration of a point mass (in vector form). Find kinetic energy of point mass m in polar coordinates. 2)In the figure above the pulley and mass m2 form a pendulum of variable length. Size of mass m2 is so small that it can be treated as a point mass. Initially mass mi is at y=0 and length of the pendulum is Lo and angle ø =n/3. Initial velocities are zero. At the instant mass m, reaches y= Lo/4 the angle Ø = n |4 the angular velocity is measured as 2rad/sec. What is time derivative of the length of the pendulum (the rope slides over the pulley without friction, rope is massless) 3) Find accelerations for ø = n/4
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