Name: The rigid mallet shown rotates about the fixed pivot at point 0. If it is...
The diagram below shows a wooden mallet of uniform mass density on a pivot passing through the point marked with an "x" . The shaded and unshaded portions of the mallet are of equal mass. The mallet is released from rest in the orientation shown. Just after release what is the direction of the angular acceleration of the mallet? F36Into the page. Out of the page. Angular acceleration is zero. Insufficient information to tell. The mallet is replaced with a...
A rigid, massless rod has three particles with equal masses attached to it as shown in Figure P8.59. The rod is free to rotate in a vertical plane about a friction-less axle perpendicular to the rod through the point Pand is released from rest in the horizontal position at t - 0. Assuming m and d are known, find (a) the moment of inertia of the system (rod plus particles) about the pivot, (b) the torque acting on the system...
to and fixed to . A small sphere attachod to a light rigid rod rotates about an axis perpe the other end of the rod Relative to the positive direction of the axis of rotation, the angular positions of the sphere are positive, its angular velocity is positive, and its angular acceleration is negative. The sphere is a) rotating clockwise and speeding up b) rotating elockwise and slowing down c) rotating d) rotating counterclockwise and slowing down e) first rotating...
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...
The rigid body shown below rotates around a fixed axis at O and position angle 0= 0 when the body is in static equilibrium. Force f(t) is applied to the body as shown below. The mass of the body is 12 kg and O is the center of mass. k=1000 N/m_for the spring. Mass moment of inertia I and damping constant c are to be determined. The plot below shows the response 0(t) when f(t) = 60 N is a...
The circular disk of radius r
= 0.12 m rotates about a fixed axis through point O with the
angular properties ? = 2 rad/s and ? = 3 rad/s2 with directions as
shown in the figure above. Using the cartesian coordinate system
centred at O, find in terms of i and j components,
(Problem 5/1 from Meriam and Kraige Dynamics) 1" 4 The circular disk of radius r = 0.12 m rotates about a fixed axis through point O...
2. At the instant shown, the shaft and plate rotates with ω-14 rad/s and α- 7 rad/s2. Determine the velocity and acceleration of point D located on the corner of the plate at this instant. Express the result in Cartesian vector form. 0.6 m 0.2 m 0.4m 0.3 m 0.3 m 0.4 m
2. At the instant shown, the shaft and plate rotates with ω-14 rad/s and α- 7 rad/s2. Determine the velocity and acceleration of point D located on...
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)...
Two rigid rods as shown, AB and BC are connected to a pivot (A)
and initially at rest as shown. Each rod has mass of 3 kg and
length L = 0.5 m. A force P as shown is then applied to rod BC at
some distance b from B (the pivot between bars A and B). Please
find the distance b where, when force P is applied, the two rods
(AB and BC) move together as if they formed...
point p lies in a rigid body that rotates at angular velocity, ω-i 7-j 10-k 5 and angular acceleration, α itj 12-k 9. The body rotates about fixed point 0, and the radius vector op is given by R-i 3-j 8-k 2. Find e acceleration of P using cross product, Unit vector i,j, and k lie in a fized coordinate system. (11 points) (a) If