(a)
Velocity and acceleration of robot tip A.
Answer to Problem 11.161P
We got,
Final velocity,
Final acceleration,
Explanation of Solution
Given information:
Time
Concept used:
Velocity
Acceleration
Calculation:
Velocity,
And,
Final velocity,
Radial acceleration,
Transverse acceleration,
Final acceleration,
Conclusion:
We got,
Final velocity,
Final acceleration,
(b)
To plot: the path of tip.
Explanation of Solution
Given information:
Time
Concept used:
MS Excel shall be used to plot the path.
Calculation:
We know
Following table is being made,
Conclusion:
Plot has been shown above.
Want to see more full solutions like this?
Chapter 11 Solutions
Vector Mechanics For Engineers
- 1.A 10 kg of 0.5 m radius wheel rotates at 360 rpm. What centripetal force ( KN ) is developed in the wheel? 2.A particle moves in such a way that a = 2 t + 2 m/s/s , where t is in seconds. Determine the velocity ( m/s ) of the particle after 5 seconds. 4.If a particle moves in such a way that a = 2 t - 1 m/s/s , where t is in seconds. Find the velocity ( m/s ) of the particle after 5 s .arrow_forwardWhen the mass of a body increases, the momentum will decrease True Falsearrow_forwardA car given in Figure 1 has a mass of1500kg. It starts moving from restwith an accelera-tion ofa1= (0.5t)m/s2, wheretis given astime in seconds. It accelerates for15seconds, andthen it travels for30seconds at constantspeed. Then, suddenly the driver of the car sees a wall,and starts breaking with constantacceleration ofa2=−4m/s2for8seconds. Unfortunately,the car hits the wall.a)Drawa−t,v−tands−tgraphs for the car until it collideswith wall, and calculate thespeed (vimpact) that the car hits the wall . Clearly indicate your calculation steps.b)The front bumper of the car can be is modelled as a simple linear spring with constantk, as shown in Figure 1. Using the impact speed,vimpact, that you found in the first part of thequestion above, find the value ofknecessary to stop the car when the bumper is compressed15cm.Note:Neglect the size, and shape of the car, and model the car as a particle.arrow_forward
- The spring’s stiffness coefficient is k and the unstretched length is s. A particle moves from position 1 to position 2 with the corresponding coordinate of x1 and x2. What is the work done by the spring on the particle? A. B. C. 1 2 k x 1 2 - x 2 2 D. 1 2 k x 1 - s 2 - x 2 - s 2arrow_forwardWhich of the following most nearly gives the normal force exerted by the wall to Block C if A is moving upward? 1680N 1160N 2680N 2160Narrow_forwardWhich of the following most nearly gives the normal force exerted by the horizontal plane to Block B if A is moving upward? 1680N 1160N 2680N 2160Narrow_forward
- the earth orbits the sun every 364 1/4 days at an average radius of 1.5 x 1011m. Earths mass is 6 x 1024 kg A) what is the earth's average acceleration? B) What is the average force that the sun exerts on the earth C) what type of centripetal force is thisarrow_forwardUPVOTE will be given! Please write the complete solutions legibly. No long explanation needed. Answer in 2 decimal places. Dynamics of Rigid Bodies The rotation of the 0.9-m arm OA about O is defined by the relation Eq. (1), where is θ expressed in radians and t in seconds. Collar B slides along the arm in such a way that its distance from O is Eq. (2), where r is expressed in meters and t in seconds. After the arm OA has rotated through 30°, determine the relative acceleration with respect to the arm (m/s2).(Answer in 2 decimal places) θ = 0.15t2 is Eq'n (1) r = 0.9 - 0.12t2 is Eq'n (2)arrow_forwardthe function s(t) describes the motion of a particle along a lin . s(t)= t^3-7 t^2+15t-220 v(t)arrow_forward
- A body rotates according to the relation a=2t; where a is in rad/sec^2 and t is in sec. W =4 rad/sec and theta is zero when t is zero compute the values at w and theta at the instant when t=2 secarrow_forwardThe rotation movement of the OA stem, around O, is defined by the relation θ = 1⁄2 π (4 t - 3 t2 ) (Figure 7a_11). Cursor B slides over the bar so that its distance from point O is given by r = 1.25 t2 - 0.9 t3 . In the above equations θ is given in radians, r in meters and t in seconds. Determine for cursor B (a) its speed,(b) its total acceleration and (c) its acceleration relative to OA, at time t = 1 s.arrow_forwardThe motion of a material point making curvilinear motion in the plane is defined by the relations r = 2b cos ωt and θ = ωt. Where b and ω are constant values. find the radius of curvature of its orbit at the moment t = 0.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY