Unformatted text preview: m , = 53.13° , v = 135◦ s a 10
˙
Use the following the following parameters in your analysis:!R = 75 m, θ = 20 m ,/ v =nd m/s and v = 6 m/s . !
v = !2 m / s 2 . Chapter I: Particle Kinematics Homework I5 Homework 1.B.1
Given: A particle P moves in threedimensional space on a surface given by z = x2 y , where
x = t2 /2 and y = 3 cos 2πt.
Find: For time t = 1 s, determine the velocity and acceleration vectors of P in terms of their
Cartesian coordinates. I6 Chapter I: Particle Kinematics Homework Homework 1.B.2
Given: A particle P moves on a threedimensional path given by R = θ2 , θ = t/2 and z = cos πt.
Find: For time t = 1 s, determine the velocity and acceleration vectors of P in terms of their
cylindrical coordinates. Chapter I: Particle Kinematics Homework I7 Homework 1.C.1
Given: A particle P travels in the xy plane with a path whose coordinates are given as a function
of time t as: x (t) = 16 − 12t and y (t) = 2 + 15t − 3t2 .
Find: For this problem:
• Determine the velocity and acceleration of P in terms of their xy components.
• Make a sketch of the velocity and acceleration vectors for P.
• Determine the rate of change of speed of P and the radius of curvature for the path of P.
Use the following parameters in your analysis: t = 10 s. I8 Chapter I: Particle Kinematics Homework Homework 1.C.2
Given: A particle P moves within a plane with a path given in terms of the polar coordinates of:
R = 2θ2 , where R and θ are as deﬁned below in the ﬁgure, and with R and θ given in meters and
in radians, respectively.
mework Problems ME 274 Find: For this problem:
• Determine the velocity and acceleration vectors of P in terms of their polar coordinates. s within a plane with a path given in terms of the polar coordinates of: • Make a sketch of the velocity and acceleration vectors for P.
• Determine the rate of change of speed of P. • Is speed of and with R nd ! given in meters and in
e as defined below in the fig...
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 Fall '09
 Cartesian Coordinate System, Acceleration, Velocity, Polar coordinate system

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