Q1) The angular velocity of the radar gun at point O is è = 0.2 rad/s when 0-40°, and the radius of the circular road of r- 500 m, as shown in the figure below. Determine; 1- The radial component of the velocity 2- Transverse component of the velocity 3- The magnitude of the velocity (v)
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- 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 1,4. 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,Pleased include explanation. The skateboard has a length of lAB= 1.3m. Given the figure shown, determine (a) the velocity at point B and (b) the angular velocity of the skateboard AB if the velocity at point A is vA= 2.963 m⁄s 1000 to the right. Neglect the diameter of the wheels. Note: Use purely RMA Method for velocity calculations.
- 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/s²Vince Carlo is a world renowned skateboarder who wants to try a new skateboard design. The skateboard has a length of ?AB = 1.30m. Given the figure shown, determine (a) the velocity at point ? and (b) the angular velocity of the skateboard ?? if the velocity at point ? is ?a = 3.1 m/s to the right. Neglect the diameter of the wheels. Note: Use purely RMA Method for velocity calculations. Show the complete and step-by-step solution.3. Consider the conveyor belt shown below. As the rollers turn at a constant rate, the top portion of the belt moves to the right at speed v. D- -B Lêu E Assuming the belt does not stretch, answer the following sub-questions. Express your answers in terms of basis vectors (ê1, ê2). (a) What is the velocity vector of point A on the belt? Why? (b) What is the velocity vector of point C of the belt? Why? (c) What is the velocity vector of point B of the belt? Why? (d) What is the velocity vector of point E at the center of one of the rollers? Why? (e) What is the velocity vector ic/a? (f) What is the velocity vector Ta/c? (g) What is the velocity vector &B/A? (h) What is the velocity vector ve/c? (i) What is the velocity vector A/E?
- In reference to the figure, @ 1 ft Given: v = 8 ft/s w = 2 rad/s Determine the velocity in ft/s of point C of the cylinder at this instant assuming that the cylinder rolls counterclockwise without slipping while the conveyor belt moves to the right. TIP: Use the IC methodThe disk with radius r = 0.2 m (figure below) starts from rest and receives an angular acceleration at clockwise given by alfa= (3t3)rad/s2, where t is given in second. That said, for t = 3 s determine: (a) the angular velocity of the disk (b) the velocity intensity of a point P on the edge of the disk. Represent the direction of the velocity vector at point P indicated in the figure (c) the intensities of the normal and tangential components of the acceleration of a point P in the edge of the disc. Plot the direction of these acceleration components at the indicated point P in the figure1. The instantaneous angular velocity of the crank Q2A i - 3,600° counterclockwise. Q2A = 1.5 in. Find the second instantaneous linear velocity. And draw a graphical interpretation showing the proper length and direction of the velocity arrow of Q2A. Velocity scale: 0.5 in = 10 in/s. Drawing scale: 1:1 2.50 1.50 60° - 60°
- A motorcycle cage has a curved path in the x-z plane as shown. The cage path has different curved profile, and between point o and A the path is best described as z = f(x) = ax², where a = 0.09 and b = 1.23. The motorcyclist at point M is moving at a velocity of 12.6 m/s which is increasing at a rate of 1.9 m/s?. If the horizontal position of the motorcyclist at point M is xM = 11.9 m, determine (i) the direction of the motorcyclisť's velocity. (ii) the radius of the curvature of the cage's path at point M, (iii) the normal acceleration at point M, (iv) the magnitude and direction of the motorcyclist's acceleration at point M. A (z = axFor the mechanism, shown on the figure, v-3 m/s, a, 8 m/s². AB=√2 m. Determine: a) linear velocity and acceleration of the point B b) angular velocity and angular acceleration of the body AB. 730⁰ A viEx.5.3 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. -