Question 3: For the instance that the pole has an angle 0 to its vertical position,...
A wheel 2.10 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 3.50 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3° with the horizontal at this time. At t = 2.00 s, find the following. (a) the angular speed of the wheel (b) the tangential speed of the point P...
A wheel 2.50 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 3.55 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3° with the horizontal at this time. At t = 2.00 s, find the following. (a) the angular speed of the wheel 7.1 rad/s (b) the tangential speed of the point P (c)...
A wheel 2.30 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.50 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3° with the horizontal at this time. At t = 2.00 s, find the following. (a) the angular speed of the wheel rad/s (b) the tangential speed of the point...
(1 point) Suppose a pendulum with length L (meters) has angle 0 (radians) from the vertical. It can be shown that 0 as a function of time satisfies the differential equation: d20 + -sin 0 = 0 dt2 L where g = 9.8 m/sec/sec is the acceleration due to gravity. For small values of 0 we can use the approximation sin(0) ~ 0, and with that substitution, the differential equation becomes linear A. Determine the equation of motion of a...
The spring is uncompressed when the uniform slender bar is in the vertical position shown. Determine the initial angular acceleration a of the bar when it is released from rest in a position where the bar has been rotated clockwise 33° from the position shown. Neglect any sag of the spring, whose mass is negligible. The angular acceleration is positive if counterclockwise and negative if clockwise. The mass m of the bar is 18 kg, the length / is 305...
The platform is rotating about the vertical axis such that at any instant its angular position is 0 (482) rad, where t is in seconds. A ball rolls outward along the radial groove so that its position is r = (0.17") m, where t is in seconds. (Figure 1) Figure < Re Part A Determine the magnitude of the velocity of the ball when t124 Express your answer to three significant figures and include the appropriate units. HA @ ?...
Question 1 The angular position of a point on a rotating wheel is given by 0 = 1.65 + 4.93t2 + 3.95t, where is in radians and t is in seconds. At t = 0, what are (a) the point's angular position and (b) its angular velocity? (c) What is its angular velocity at t = 6.25 s? (d) Calculate its angular acceleration at t = 2.23 s. (e) Is its angular acceleration constant? (a) Number Units (b) Number Units...
> Answer 3/83 The vertical plane containing the utility cable turns 30° at the vertical pole OC. The tensions T, and I are both 950 N. In order to prevent long-term leaning of the pole, guy wires AD and BE are utilized. If the two guy wires are adjusted so as to carry equal tensions I which together reduce the moment at O to zero, determine the net horizontal reaction at O. Determine the required value of 7. Neglect the...
3 Select the THREE responses that are correct. If an object's position versus time graph is a straight line with a positive slope, then that object is moving with a constant velocity. moving with zero acceleration. moving upward. moving with a constant speed. moving with a constant, non-zero acceleration.4 An object can reverse its direction of travel when it has a constant acceleration. True False 5 Let us take up to the positive direction. If you throw a small rock straight up and catch it when it returns to you, its velocity vs....
3. A ball, a solid sphere of radius r and mass m, is positioned at the top of a ramp that makes an angle of 0 with the horizontal. The initial position of the sphere is at a distance of d from its final position at the bottom of the incline. a) Find the velocity of the ball at the bottom of the ramp in terms of m, r, d, 8, and g. The moment of inertia of a sphere...