For a short time the arm of the robot is extending at a constant rate such...
For a short time the arm of the robot is extending at a constant rate such that dr/dt = 1.9 ft/s when r = 2.7 ft, z = (412) ft, and © = 0.5t rad, where t is in seconds. Determine the magnitude of the acceleration of Grip A when t = 3.4. A z r Figure: 12_P195-196 Copyright station gol
2. The robot arm is elevating and extending simultaneously. At a given instant, -30, 0 10 deg/ sec-constant, l = 0.5 m, l = 0.2 m/s, and -0.3 m/s. Compute the magnitudes of the velocity v and acceleration a of the gripped cylinder P. In addition, express V and a in terms of the unit vectors t and j. Ans.: u = 0.296 (m/s), a= 0.345 (m/s*), v = 0.0641 + 0.289j (mt/s), a -0.328i-0.1086) (m/s*) 0-
The disk A rotates about the vertical z-axis with a constant speed omega = dot theta = pi / 3 rad/s. Simultaneously, the hinged arm OB is elevated at the constant rate dot phi = 2pi / 3 rad/s. At time t = 0 both theta = 0 and phi = 0 The angle theta is measured from the fixed reference x-axis. The small sphere P slides out along the rod according to R = 50 + 200t2 where R...
dynamic A particle is sliding in a slot on an arm that is rotating about a fixed point. The by r() (3+ cos 2t) inches where t is in seconds. The arm is rotating about the fixed point at a constant rate of 0.3 rad/sec counterclockwise starting at 0 from the horizontal position. (a) Use radial and transverse coordinates to express the velocity and acceleration of the particle when 030 (b) Express the velocity and acceleration of the particle in...
For a short time the bucket of the backhoe traces the path of the cardioid r = 25(1-cos) ft. The boom is rotating with an angular velocity of 8 = 2.3 rad/s and an angular acceleration of 8 = 0.22 rad/s at the instant shown. (Figure 1) Part A Determine the magnitude of the velocity of the bucket when 0 = 1200 Express your answer to three significant figures and include the appropriate units. v= Value Units Submit Request Answer...
The boy of mass 40 kg is sliding down the spiral slide at a constant speed such that his position, measured from the top of the chute, has components r = 1.5 m, θ = (0.7t) rad, and z = (-0.5t) m, where t is in seconds.Determine the components of force Fr, Fθ, and Fzwhich the slide exerts on him at the instant t = 2 s.Neglect the size of the boy.
dynamics Part A For a short time the bucket of the backhoe traces the path of the cardioid r. 25(1-cos) ft. The boom is rotating with an angular velocity of ) - 2.5'rad/s and an angular acceleration of ö = 0.18 rad/s at the instant shown. (Figure 1) Determine the magnitude of the velocity of the bucket when 0 - 120° Express your answer to three significant figures and include the appropriate units. |H ? V = Value Units Submit...
PartA The boy of mass 36 kg is sliding down the spiral slide at a constant speed such that his position, measured from the top of the chute, has components r 1.5 m 0- (0.7t) rad, and z- (-0.5t) m, where t is in seconds. Neglect the size of the boy. (Figure 1) Determine the τ, θ, z components of force F which the slide exerts on him at the instant t-2 s using scalar notation. Express your answers using...
Time Allowed: 20 minutes Question: The search light shown in Figure 1 casts a spot of light along the face of the wall that is located 120m from the searchlight. Determine the magnitude of the velocity and acceleration at which the point appears to travel across the wall at the instance when 0 = 40 degrees. The searchlight is rotating about Z axis at the constant rate of de/dt = 2 rad/s Wall . 120 m Figure 1 de/dt 2...
For a short time, gear A of the automobile starter rotates with an Part A angular acceleration of aA in seconds. (450t2 +48) rad/s, where t is Determine the angular velocity of gear B when t = 1 s , starting from rest. The radii of gears A and B are 10 mm and 25 mm, respectively(Figure 1) Express your answer with the appropriate units. Value Units Submit Request Answer Part B Determine the angular displacement of gear B when...