COMPUTER ORGANIZATION+DESIGN >I<
COMPUTER ORGANIZATION+DESIGN >I<
5th Edition
ISBN: 9781541868397
Author: Patterson
Publisher: ZYBOOKS (CC)
Expert Solution & Answer
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Chapter 1, Problem 1.11.5E

Explanation of Solution

The required SPEC ratio can be calculated using the following formula,

SPECratio=referencetimeCPUtime

The above formula represents that SPEC ratio is inversely proportional to CPU time.

SPECratio1/αCPUtime

SPECratio(after)SPECratio(before)=CPUtime(before)CPUtime(after)SPECratio(after)SPECratio(before)=Numberofinstructions

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Problem 3: Consider the two-link planar elbow manipulator shown below with link information: a₁ = 3, a₂ = 3. a2 S 3/0 Link | a | ai | di ai | di | 0i | มา 02 21 02. 12 01 0 0 01 02 0 0 02 01 To (a) Find the location of the end-effector P° if the joint angles are: 0₁ = 140°, 0₂ = 30° (b) Find the values of joint variables 01, 02 if the robotic manipulator is commanded to reach the desired location of Pº = [4.5, 3,0]. Notice there are possibly two sets of solutions. (c) Also sketch the two poses of the robot for the computed joint variables. Page 5 of 7
Problem 5: The following shows the schematic of a SCARA robot and its DH parameters. Complete the following questions based on this information. 20 01 21 02. 22 done by ai α; di Ꮎ ; 21 d3 1 a1 0 0 0₁** 2 a2 180° 0 0% 3 0 0 d3 0 The Jacobian matrix of this robot is given below: -a1S1a2S12 -a2S12 J(q) = a1c1 + a2c12 0 a2C12 0 10° (a) For a₁ = 1, a2 = 2, is q = 180° a singularity configuration of this robot? a1 3 [10°1 (b) For a₁ = 1, a2 = 2, is q = | 0° a singularity configuration of this robot? 3
(c) Consider the following sequence of rotations: 1) Rotate by 130° about the world z-axis 2) Rotate by 45° about the current x-axis 3) Rotate by -30° about the world/fixed y-axis Compute the resulting overall rotation matrix R. Notice that you need to provide the numerical solution to the matrix R. (d) Find R giving the following rotation matrices. 1 0 0 1 √√3 го о 0 0 R₁₁ = 2 R₁ = 0 1 0 1 0 0 0 2 2
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