The trajectory of a ball can be computed with
where
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- Q1/ The figure below shows such an LSPB trajectory, where the maximum velocity V 60 deg/sec. In this case, the times are given as t.= 5 sec and t 30 sec. In addition, the joint angles in beginning and the ending q=20 deg and qf = 70 deg , respectively. For these required data , determine the following : 1- The position function and its profile. 2- The velocity function and its profile. 3- The acceleration function and its profile. 4- The function of jerk variable and what is the nature of jerk? 5- The position, velocity, and acceleration at tm-13 sec. te tm ty te ty tarrow_forwardQ1/ The figure below shows such an LSPB trajectory, where the maximum velocity V = 60 deg/sec. In this case, the times are given as t = 5 sec and t-30 sec. In addition, the joint angles in beginning and the ending q=20 deg and q,= 70 deg, respectively. For these required data, determine the following: 1- The position function and its profile. 2- The velocity function and its profile. 3- The acceleration function and its profile. 4 The function of jerk variable and what is the nature of jerk? 5- The position, velocity, and acceleration at tm-13 sec. 9A te tm ty-te 9f ge % 0 t, tarrow_forwardM, 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/4arrow_forward
- 1. (Ex. 5.3 of Module 5 Part 1) The position of a particle moving along the x-axis is described by x = t³ – 108t in where t is the time in sec. For the time interval t = 0 to t = 10 s, (a) plot the position, velocity and acceleration as a function of time (b) find the displacement of the particle and (c) determine the distance traveled by the particle.arrow_forwardQ1/The figure below shows such an LSPB trajectory, where the maximum velocity V = 60 deg/sec. In this case, the times are given as t = 5 sec and t-30 sec. In addition, the joint angles in beginning and the ending q-20 deg and q;= 70 deg, respectively. For these required data, determine the following: 1- The position function and its profile. 2- The velocity function and its profile. 3- The acceleration function and its profile. 4- The function of jerk variable and what is the nature of jerk? 5- The position, velocity, and acceleration at tm=13 sec. 9A ty te 9 9. 9 0 t₁arrow_forward1. The wheel starts rotating from rest, 5) if its angular velocity W as a function of angular position O is @=0.2•0², where O is in radian, and its radius ris 0.3 m, what is the magnitude of the total linear acceleration (in m/s2) of point Pafter the wheel has turned 1.3 revolution(s) from rest. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Your Answer: Answerarrow_forward
- L. y X VA A VB PLANE OF CONTACT BY UBC Engineering On an air hockey table, two pucks of identical mass collide in the middle of the rink. Puck A had an initial m velocity vA 1.9? and puck B had an initial velocity vB = 3.2j The plane of contact can be thought of as a line angled 0 = 34° above the x-axis. If the coefficient of 0.5 between the pucks, what are the velocities of the pucks after the impact? || m according to the x-y axis shown. restitution is e =arrow_forward1. The wheel starts rotating from rest, 5) if its angular velocity W as a function of angular position is w=0.2-0², where 0 is in radian, and its radius ris 0.3 m, what is the magnitude of the total linear acceleration (in m/s2) of point P after the wheel has turned 1.4 revolution(s) from rest. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Your Answer: Answer Parrow_forward1. The position of a particle moving along the x-axis is described by x = t – 108t in where t is the time in sec. For the time interval t= 0 to t = 10 s, (a) plot the position, velocity, and acceleration as a function of time (b) find the displacement of the particle and (c) determine the distance traveled by the particle.arrow_forward
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