Problem 4: Two blocks, A and B, are pin connected by a 2 m rod and traveling along a horizontal plane. The speed and magnitude of acceleration of block B are known. The direction of the velocity and acceleration of block B indicates are indicated in Figure 4. y X 30º Figure 4: Two blocks connected by rod. Given this information, find the following: i) 60° B v = 5 m/sec a = 2 m/sec² What is the velocity of block A and the angular velocity of rod AB at the instant shown in Figure 4? ii) What is the acceleration of block A and the angular acceleration of rod AB at the instant shown in Figure 4? Problem 5: We have the same information as in Problem 4, but now we are told that the mass of block A is 2 kg and the mass of block B is 4 kg. The mass of the thin rod is 1 kg. Given this information, find the forces (support reactions) acting on the pins at A and B. i) Velocity of Block A and Angular Velocity of Rod AB: • The angular velocity of rod AB: • WAB =(0, 0, 2.5) rad/s The velocity of block A: VA (5,0,0) m/s = ii) Angular Acceleration of Rod AB and Acceleration of Block A: • The angular acceleration of rod AB: QAB =(0, 0, 4.61) rad/s2 The acceleration of block A: a A = (16.4, 0, 0) m/s →
Problem 4: Two blocks, A and B, are pin connected by a 2 m rod and traveling along a horizontal plane. The speed and magnitude of acceleration of block B are known. The direction of the velocity and acceleration of block B indicates are indicated in Figure 4. y X 30º Figure 4: Two blocks connected by rod. Given this information, find the following: i) 60° B v = 5 m/sec a = 2 m/sec² What is the velocity of block A and the angular velocity of rod AB at the instant shown in Figure 4? ii) What is the acceleration of block A and the angular acceleration of rod AB at the instant shown in Figure 4? Problem 5: We have the same information as in Problem 4, but now we are told that the mass of block A is 2 kg and the mass of block B is 4 kg. The mass of the thin rod is 1 kg. Given this information, find the forces (support reactions) acting on the pins at A and B. i) Velocity of Block A and Angular Velocity of Rod AB: • The angular velocity of rod AB: • WAB =(0, 0, 2.5) rad/s The velocity of block A: VA (5,0,0) m/s = ii) Angular Acceleration of Rod AB and Acceleration of Block A: • The angular acceleration of rod AB: QAB =(0, 0, 4.61) rad/s2 The acceleration of block A: a A = (16.4, 0, 0) m/s →
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Solve problem 5, using the solutions given for problem 4 in the image attatched.
Transcribed Image Text:Problem 4: Two blocks, A and B, are pin connected by a 2 m rod and traveling along a
horizontal plane. The speed and magnitude of acceleration of block B are known. The direction
of the velocity and acceleration of block B indicates are indicated in Figure 4.
y
X
30º
Figure 4: Two blocks connected by rod.
Given this information, find the following:
i)
60°
B
v =
5 m/sec
a = 2 m/sec²
What is the velocity of block A and the angular velocity of rod AB at the instant
shown in Figure 4?
ii)
What is the acceleration of block A and the angular acceleration of rod AB at the
instant shown in Figure 4?
Problem 5: We have the same information as in Problem 4, but now we are told that the mass
of block A is 2 kg and the mass of block B is 4 kg. The mass of the thin rod is 1 kg. Given this
information, find the forces (support reactions) acting on the pins at A and B.
Transcribed Image Text:i) Velocity of Block A and Angular Velocity of Rod AB:
•
The angular velocity of rod AB:
•
WAB =(0, 0, 2.5) rad/s
The velocity of block A:
VA (5,0,0) m/s
=
ii) Angular Acceleration of Rod AB and Acceleration of Block A:
•
The angular acceleration of rod AB:
QAB =(0, 0, 4.61) rad/s2
The acceleration of block A:
a A =
(16.4, 0, 0) m/s
→
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