The figure shows at a snapshot of a mechanism consisting of two rods, each with mass 4 kg and length 70 cm. The rods are hinged together, and one of the a rod is also hinged to a wall. The size of the hinges, should be ignored.
Rod one is drive by a moment M, so that the angular velocity ω1 = 2 rad / s keeps constant.
1. Calculate the angular acceleration α2 for rod 2 in the situation shown.
2. Calculate the magnitude of the reaction force in hinge A.
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The figure shows at a snapshot of a mechanism consisting of two rods, each
with mass...
Chapter 16 A mechanism consisting of two rods BC and CD as shown in the figure....
Chapter 16 A mechanism consisting of two rods BC and CD as shown in the figure. Rod BC rotates about the pin B uniformly with a constant angular velocity w, whereas the end of rod CD is connected to the block A. At the instant = 60°, X = 6 m and w = 3 rad/s, calculate: (a) The velocity of block A (b) The acceleration of block A.
A rigid system is made of three rods fastened together in the form of letter H (see figure). Two ...
A rigid system is made of three rods fastened together in the form of letter H (see figure). Two rods (A and B) are identical with length hA, radius rA and mass mA. The central rod (C) has length hc radius rc and mass mc The system is free to rotate in the horizontal xy plane around the vertical z axis passing through the centre of the system. Identify the moment of inertia of the rigid system 12 mc, Consider...
A uniform rod of mass M = 5.02kg and length L = 1.08m can pivot freely...
A uniform rod of mass M = 5.02kg and length L = 1.08m can pivot
freely (i.e., we ignore friction) about a hinge attached to a wall,
as seen in the figure below.
The rod is held horizontally and then released. At the moment of
release, determine the angular acceleration of the rod. Use units
of rad/s^2.
Mg L L2
A uniform rod of mass M = 5.14kg and length L = 1.01m can pivot freely...
A uniform rod of mass M = 5.14kg and length L = 1.01m can pivot
freely (i.e., we ignore friction) about a hinge attached to a wall,
as seen in the figure below.
The rod is held horizontally
and then released. At the moment of release, determine the angular
acceleration of the rod. Use units of rad/s^2.
Determine the linear acceleration of the tip of the rod. Assume
that the force of gravity acts at the center of mass of...
1. The linkage shown is made of two 1.0-meter-long rods. Each rod has a mass of 5 kg. At the instant shown each rod has an angular velocity of -10 rad/s. Gravity acts toward the bottom of the...
1. The linkage shown is made of two 1.0-meter-long rods. Each rod has a mass of 5 kg. At the instant shown each rod has an angular velocity of -10 rad/s. Gravity acts toward the bottom of the page. What's the acceleration of the point where the 500 N force is applied? 500 N A disc of radius 0.3 m spins at a constant rate of 50 rad/s about its axis (directed toward the ottom of the page), while the...
can you please solve it with an explanation thank you. A uniform rod of length L-1.0...
can you please solve it with an explanation thank you.
A uniform rod of length L-1.0 m and of mass M is hinged at one en position. The moment of inertia as the rod rotates around that hinge is ML213. It is re end is allowed to fall with the other end hinged due to gravity. (20 points) a) What is the angular acceleration b) What is the angular velocity when it reaches the lowest point in r c) F...
I understand part a, but I am getting the incorrect answers for b and c. The...
I understand part a, but I am getting the incorrect answers for
b and c.
The answer to b is 12.7 rad/s, the answer to c is 0.44 kgm^2/s.
Please show all work including which general equations you are
using to set up the problem, thank you!
Prob 2 A "one-dimensional" rod (no width to consider) of mass M-3.2 kg and length-0.18 mis nailed to a wall at one end, having a moment-of-inertia o- 0.035 kgm2 about that axis. The...
(14 points) The figure below shows the bird's eye view of three forces acting on a...
(14 points) The figure below shows the bird's eye view of three forces acting on a long, thin rod with a length of 2.40 m that can pivot about a point one-fourth of its length from one end of the rod. The moment of inertia of the rod about its pivot point is 37.8 kg.m. Forces 1 and 2 each have a magnitude of 120 N. Force 1 acts perpendicularly to the rod at the end of the rod nearest...
4 In the mechanism shown, the centre of mass of link 3 is at G3, which...
4 In the mechanism shown, the centre of mass of link 3 is at G3, which is located at the centre of link 3. The mass of link 3 is 0.5 kg. Its moment of inertia about G; is 0.0012 N-s2-m. The weights and moments Of inertia of members 2 and 4 may be neglected. Link 2 is driven at a constant angular velocity of 50 rad/s CW by the torque applied to link 2. The mechanism moves in the...
2. A bar on a hinge starts from rest and rotates with an angular acceleration α...
2. A bar on a hinge starts from rest and rotates with an angular acceleration α (10 + 61), where α is in rad/s" and 1 is in seconds. Determine the angle in radians through which the bar turns in the first 4.00 s. 4. A dentist's drll starts from rest. After 3.20 s of constant an- gular acceleration, it turns at a rate of 2.51 × 104 rev/min. (a) Find the drill's angular acceleration. (b) Determine the angle (in...
Chapter 16 A mechanism consisting of two rods BC and CD as shown in the figure. Rod BC rotates about the pin B uniformly with a constant angular velocity w, whereas the end of rod CD is connected to the block A. At the instant = 60°, X = 6 m and w = 3 rad/s, calculate: (a) The velocity of block A (b) The acceleration of block A.
A rigid system is made of three rods fastened together in the form of letter H (see figure). Two rods (A and B) are identical with length hA, radius rA and mass mA. The central rod (C) has length hc radius rc and mass mc The system is free to rotate in the horizontal xy plane around the vertical z axis passing through the centre of the system. Identify the moment of inertia of the rigid system 12 mc, Consider...
A uniform rod of mass M = 5.02kg and length L = 1.08m can pivot
freely (i.e., we ignore friction) about a hinge attached to a wall,
as seen in the figure below.
The rod is held horizontally and then released. At the moment of
release, determine the angular acceleration of the rod. Use units
of rad/s^2.
Mg L L2
A uniform rod of mass M = 5.14kg and length L = 1.01m can pivot
freely (i.e., we ignore friction) about a hinge attached to a wall,
as seen in the figure below.
The rod is held horizontally
and then released. At the moment of release, determine the angular
acceleration of the rod. Use units of rad/s^2.
Determine the linear acceleration of the tip of the rod. Assume
that the force of gravity acts at the center of mass of...
1. The linkage shown is made of two 1.0-meter-long rods. Each rod has a mass of 5 kg. At the instant shown each rod has an angular velocity of -10 rad/s. Gravity acts toward the bottom of the page. What's the acceleration of the point where the 500 N force is applied? 500 N A disc of radius 0.3 m spins at a constant rate of 50 rad/s about its axis (directed toward the ottom of the page), while the...
can you please solve it with an explanation thank you.
A uniform rod of length L-1.0 m and of mass M is hinged at one en position. The moment of inertia as the rod rotates around that hinge is ML213. It is re end is allowed to fall with the other end hinged due to gravity. (20 points) a) What is the angular acceleration b) What is the angular velocity when it reaches the lowest point in r c) F...
I understand part a, but I am getting the incorrect answers for
b and c.
The answer to b is 12.7 rad/s, the answer to c is 0.44 kgm^2/s.
Please show all work including which general equations you are
using to set up the problem, thank you!
Prob 2 A "one-dimensional" rod (no width to consider) of mass M-3.2 kg and length-0.18 mis nailed to a wall at one end, having a moment-of-inertia o- 0.035 kgm2 about that axis. The...
(14 points) The figure below shows the bird's eye view of three forces acting on a long, thin rod with a length of 2.40 m that can pivot about a point one-fourth of its length from one end of the rod. The moment of inertia of the rod about its pivot point is 37.8 kg.m. Forces 1 and 2 each have a magnitude of 120 N. Force 1 acts perpendicularly to the rod at the end of the rod nearest...
4 In the mechanism shown, the centre of mass of link 3 is at G3, which is located at the centre of link 3. The mass of link 3 is 0.5 kg. Its moment of inertia about G; is 0.0012 N-s2-m. The weights and moments Of inertia of members 2 and 4 may be neglected. Link 2 is driven at a constant angular velocity of 50 rad/s CW by the torque applied to link 2. The mechanism moves in the...
2. A bar on a hinge starts from rest and rotates with an angular acceleration α (10 + 61), where α is in rad/s" and 1 is in seconds. Determine the angle in radians through which the bar turns in the first 4.00 s. 4. A dentist's drll starts from rest. After 3.20 s of constant an- gular acceleration, it turns at a rate of 2.51 × 104 rev/min. (a) Find the drill's angular acceleration. (b) Determine the angle (in...
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