Answered: Question 7 Given, the ball (P) is…

Question 7 Given, the ball (P) is guided along the vertical circular path. W = 0.5 N, 0= 0.4 rad/s, Ö = 0.8 rad/s?, rc = 0.4 m Find the force of the arm OA on the ball when 0 = 30°. A

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.47P: A rifle at A is fired at a target at B. If the speed of the bullet is 1400 ft/s, determine the...

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A camera on the left edge of a circular track of radius D = 4 m tracks a particle as it travels around the circle. The polar equation of the path is given above. At the moment shown, the camera angle is € = 30°, and the camera is rotating at 0 = 0.5 rad/s, which is accelerating at a rate 0 -0.1 rad/s². What is the velocity, acceleration, and rate of change of speed of the particle at that instant? = V= r = D cos(0) a = v = m/s m/s² m/s²
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4. 3) The hydraulic cylinder D extends, moves the rigid rod ABC, and causes the collar A to move with velocity and acceleration both to the left. If the dimensions 4 = 1.0 ft, and 2 = 1.6 ft, VA = 3.6 ft/s, aa = 2.2 ft/s2, and the angle 0 = 27°, determine the speed of point C. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. %3D В 12 D Your Answer: Answer units 1,
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(4) V₁ = 6 m/s 40° Funny Juk = = 0.35 d = TBD block : m = 5 kg Spring: k = 100 N/m Value L = won't be needed ^ A block is positioned on a 40° slope as shown, and a spring is attached to it as shown. The spring is relaxed (unstretched) in the position shown. The block is given an initial velocity V₁ = 6 m/s downslope. Find the distance "d" that the block will slide before it comes to a stop. Use the Principle of Work and Energy.
4. 2) The hydraulic cylinder D extends, moves the rigid rod ABC, and causes the collar A to move with velocity and acceleration both to the left. If the dimensions 4 1.0 ft, and 2 = 1.7 ft, VA = 4.9 ft/s, aa = 2.6 ft/s2, and the angle 0 = 27°, determine the speed of point B. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. В 12 D a Your Answer: Answer units 1,
A ball with a mass of 55.0 g is thrown as shown. (this is a view from the side) There are only two forces acting on it: gravity and air resistance. The air resistance is in the opposite direction of the velocity and has a magnitude of 0.110 N. Find the acceleration vector of the ball. NOTE 1: Don't forget to draw a free body diagram V = 15.0m S 0 = 30.0°
The 2-1b spool slides along the smooth horizontal spiral rod, r = (20) ft, where is in radians, as shown in (Figure 1). At the instant = 90°, its angular rate of rotation is constant and equals 0 = 4 rad/s. Figure 8 = 4 rad/s 1 of 1 P Determine the horizontal tangential force P needed to cause the motion. Express your answer in pounds to three significant figures. IVE ΑΣΦ ↓↑ vec P= 6.244 Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining ? lb
I Suppose an autonomous surface vessel (ASV) traveling with velocity TvG/O= vi₁ begins to make a turn by adjusting the thrust of its left and right thrusters, TA and TB, respectively. The center of mass of the ASV is located at G and the ASV is symmetric about its vertical axis. The ASV also experiences a drag force that is proportional to its speed and opposes its velocity. At the instant shown, the drag force is D = -kvi₁ where k is a drag coefficient. 1. To model the mass moment of inertia, approximate the ASV as consisting of three rigid bodies: a flat plate as a center body of mass 6m and two slender rods housing the propulsion assemblies, each of mass m, at the outboard sides of the vehicle. Determine the mass moment of inertia, IG, about the vertical axis passing through the center of mass G. (Hint: Use the parallel axis theorem.) 2. At the instant shown, determine the inertial acceleration vector ac/o = axi₁ + ayi2 of the center of mass and the angular acceleration a of the…
An automobile P is traveling along a circular track of radius R=958.4 m. At position "A" on the track, the automobile has a speed of UA = 10.3 m/s. At this position, the driver of the automobile applies the brakes causing the speed of the automobile to change with distance s traveled along the track according to the following equation: U(S) = VA COS(0.001s) m/s (cos is in radians), where s is given in meters. Determine the magnitude of the acceleration for the driver when the automobile reaches position "B" on the track where "B" is a quarter of the distance around the track from position "A". R B O circular track
OR Fig. 3 A robotic arm shown in Fig. 3 is programmed so that the 0.4-kg part A traces the radial path defined by r = 1–- 0.5 cos (2nt) meter and tranverse path of 0 = 0.5 – 0.2 sin (2nt) rad respectively. a) Calculate the velocity magnitude of part A at 1= 3 seconds. b) Determine the radial and transverse components of the force exerted on A by the robot jaws at 1= 2 seconds. Show the necessary Free-Body and Kinetic diagram to support your analysis.
Q2. As shown in the image, a ball is confined to move along the smooth vertical slot due to the counterclockwise rotation of the arm OA. The ball contacts only one side of the slot at any instant. There is no need to solve for any answers for this problem: the goal is to demonstrate the strategy to solve the problem using cylindrical coordinates. On paper, draw the directions of the acceleration of the ball in radial and transverse components. Also, draw the FBD of the ball that shows its weight W, the normal force N exerted by the slot, and the force F from the rod, and write the resultant force components (involving W, N, F, and angle 0) in the radial and transverse directions. The accuracy and quality of the drawings are highly important and points will be taken for low-quality sketches. Take g = 9.81 m/s². Write in the answer space below "see notes". 6=2 rad/s 0.5 m A