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Last Name: Page Problem #2 (35 Points) Given The motion of a particle P which coincides with the ...
Problem #2 (35 Points) Given The motion of a particle P which coincides with the robot's gripper ...
Problem #2 (35 Points) Given The motion of a particle P which coincides with the robot's gripper hand at point A is defined by the relations r-|kıBeos(K2O) ] m and θ (k31) rad, where t is expressed in seconds. Please note that ki, k2, and ks are constants which are greater than zero. For the initial condition, the particle has an angle of 0-0 when t 0 sec. So, when t 2 sec, Find a) The "script" values for radial...
Dynamics Given: The motion of a particle P is defined by the relations r = [kı...
Dynamics
Given: The motion of a particle P is defined by the relations r = [kı sin(b) m and 0=(k21°) rad, where t is expressed in seconds. Please note that kı, k2, and b are constants which are greater than zero. For the initial condition, the particle has an angle of o=0° when t = 0 sec. So, when 1 = 1 sec, Find: a) The radial (vr) and transverse (ve) components of velocity of the particle P. b) The...
dynamic A particle is sliding in a slot on an arm that is rotating about a...
dynamic
A particle is sliding in a slot on an arm that is rotating about a fixed point. The by r() (3+ cos 2t) inches where t is in seconds. The arm is rotating about the fixed point at a constant rate of 0.3 rad/sec counterclockwise starting at 0 from the horizontal position. (a) Use radial and transverse coordinates to express the velocity and acceleration of the particle when 030 (b) Express the velocity and acceleration of the particle in...
Problem H1.B Given: A particle P travels on a path described by the Cartesian coordinates of...
Problem H1.B Given: A particle P travels on a path described by the Cartesian coordinates of y ca(b - ) where and y have the units of meters.The -component of velocity, i, for P is constamt. Find: For this problem (a) Make a sketch of the path of P over the range of 0 <b. (b) Determine the Cartesian components of the velocity and acceleration of P at 0. Add sketch of the velocity and acceleration vectors for P to...
2. The velocity components of a particle are given as vr = 2 + 2 mm/s...
2. The velocity components of a particle are given as vr = 2 + 2 mm/s and vy-2sm@t) mm/s. The initial conditions of position are (t = 0) = r(t = 0) = 0, At t = 1 s: (a) Find the components of the position and acceleration vectors in the Cartesian coordinates (b) Determine the velocity and acceleration components in the Polar coordinates (c) Draw vector diagrams to demonstrate that the same velocity and acceleration vectors are obtained for...
2. A particle moves in the x-y plane. Its coordinates are given as functions of time...
2. A particle moves in the x-y plane. Its coordinates are given as functions of time t(2 0) b x(t)-R(at-sina)t), )Sketch the trajectory of the particle. This is the trajectory of a point on the rim of a wheel y(t)-R(1-cosω t), where R and ω are constants. (a) (3 that is rolling at a constant speed on a horizontal surface. The curve traced out by such a point as it moves through space is called a cycloid. (b) (5 Find...
2) A particle moves in the x-y plane. Known information about the particle’s motion is given...
2) A particle moves in the x-y plane. Known information about the particle’s motion is given below: ???? = 150?? ft/sec. and at time t = 0, x = 6 ft ?? =5??3+50?? ft a) Derive, as functions of time, the position (x), acceleration (ax), velocity (vy), and acceleration (ay). b) Using your functions, calculate, at time t = 0.25 seconds, the total magnitude of velocity ?? of the particle and the angle ????the velocity vector makes with the x-axis....
Student Name 1. A particle confined to motion along the x axis moves with constant acceleration...
Student Name 1. A particle confined to motion along the x axis moves with constant acceleration fromx = 2.0 m to x 8.0 m during a 2.5-s time interval. The velocity of the particle at x - 8.0 m is 2.8 m/s. What is the acceleration during this time interval? 2. The polar coordinates of a point are r=5.50 m and Angle 240°. What are the Cartesian coordinates of this point? 3. On occasion, the notation A= [A, O] will...
Chapter 2, Problem 2/133 The velocity and acceleration of a particle are given for a certain...
Chapter 2, Problem 2/133 The velocity and acceleration of a particle are given for a certain instant by v = (3.2i - 6.2j + 0.9k) m/s and a = (5.6i - 3.6j - 8.0k) m/s2. Determine the angle O between v and a, v, and the radius of curvature p in the osculating plane. Answers: Jm/s2 p= = - m Click if you would like to Show Work for this question: Open Show Work Chapter 2, Reserve Problem 2/073 The...
Please help! :) Discussion #3 1. Consider the motion of an object that can be treated...
Please help! :)
Discussion #3 1. Consider the motion of an object that can be treated as a point particle and is traveling counter-clockwise in a circle of radius R. This motion can (and will for the purposes of these discussion activities) be described and analyzed using a Cartesian (x-y) coordinate system with a spatial origin at the center of the particle's circular trajectory (the physical path its motion traces out in space). (a) Draw a diagram of the position...
Problem #2 (35 Points) Given The motion of a particle P which coincides with the robot's gripper hand at point A is defined by the relations r-|kıBeos(K2O) ] m and θ (k31) rad, where t is expressed in seconds. Please note that ki, k2, and ks are constants which are greater than zero. For the initial condition, the particle has an angle of 0-0 when t 0 sec. So, when t 2 sec, Find a) The "script" values for radial...
Dynamics
Given: The motion of a particle P is defined by the relations r = [kı sin(b) m and 0=(k21°) rad, where t is expressed in seconds. Please note that kı, k2, and b are constants which are greater than zero. For the initial condition, the particle has an angle of o=0° when t = 0 sec. So, when 1 = 1 sec, Find: a) The radial (vr) and transverse (ve) components of velocity of the particle P. b) The...
dynamic
A particle is sliding in a slot on an arm that is rotating about a fixed point. The by r() (3+ cos 2t) inches where t is in seconds. The arm is rotating about the fixed point at a constant rate of 0.3 rad/sec counterclockwise starting at 0 from the horizontal position. (a) Use radial and transverse coordinates to express the velocity and acceleration of the particle when 030 (b) Express the velocity and acceleration of the particle in...
Problem H1.B Given: A particle P travels on a path described by the Cartesian coordinates of y ca(b - ) where and y have the units of meters.The -component of velocity, i, for P is constamt. Find: For this problem (a) Make a sketch of the path of P over the range of 0 <b. (b) Determine the Cartesian components of the velocity and acceleration of P at 0. Add sketch of the velocity and acceleration vectors for P to...
2. The velocity components of a particle are given as vr = 2 + 2 mm/s and vy-2sm@t) mm/s. The initial conditions of position are (t = 0) = r(t = 0) = 0, At t = 1 s: (a) Find the components of the position and acceleration vectors in the Cartesian coordinates (b) Determine the velocity and acceleration components in the Polar coordinates (c) Draw vector diagrams to demonstrate that the same velocity and acceleration vectors are obtained for...
2. A particle moves in the x-y plane. Its coordinates are given as functions of time t(2 0) b x(t)-R(at-sina)t), )Sketch the trajectory of the particle. This is the trajectory of a point on the rim of a wheel y(t)-R(1-cosω t), where R and ω are constants. (a) (3 that is rolling at a constant speed on a horizontal surface. The curve traced out by such a point as it moves through space is called a cycloid. (b) (5 Find...
Student Name 1. A particle confined to motion along the x axis moves with constant acceleration fromx = 2.0 m to x 8.0 m during a 2.5-s time interval. The velocity of the particle at x - 8.0 m is 2.8 m/s. What is the acceleration during this time interval? 2. The polar coordinates of a point are r=5.50 m and Angle 240°. What are the Cartesian coordinates of this point? 3. On occasion, the notation A= [A, O] will...
Chapter 2, Problem 2/133 The velocity and acceleration of a particle are given for a certain instant by v = (3.2i - 6.2j + 0.9k) m/s and a = (5.6i - 3.6j - 8.0k) m/s2. Determine the angle O between v and a, v, and the radius of curvature p in the osculating plane. Answers: Jm/s2 p= = - m Click if you would like to Show Work for this question: Open Show Work Chapter 2, Reserve Problem 2/073 The...
Please help! :)
Discussion #3 1. Consider the motion of an object that can be treated as a point particle and is traveling counter-clockwise in a circle of radius R. This motion can (and will for the purposes of these discussion activities) be described and analyzed using a Cartesian (x-y) coordinate system with a spatial origin at the center of the particle's circular trajectory (the physical path its motion traces out in space). (a) Draw a diagram of the position...
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