The system shown below consists of two connected blocks resting on a cart that is held motionless and then released. All surfaces are perfectly smooth (frictionless). The string is inelastic and has negligible mass, the pulley has negligible mass and friction, and the cart's wheels offer no dissipative forces. The cart has mass M = 100 kg, the top block has mass m1 = 45.0 kg, and the hanging block has mass m2 = 60.0 kg. Gravity is 9.81 m/s². (a) What is the tension in the string? (b) What are the magnitudes of the accelerations of the two blocks, a, and az respectively? Note that they do not need to be equal to each other because they are measured relative to the ground (the inertial reference frame). (c) What is the direction and magnitude of the acceleration of the cart?
The system shown below consists of two connected blocks resting on a cart that is held motionless and then released. All surfaces are perfectly smooth (frictionless). The string is inelastic and has negligible mass, the pulley has negligible mass and friction, and the cart's wheels offer no dissipative forces. The cart has mass M = 100 kg, the top block has mass m1 = 45.0 kg, and the hanging block has mass m2 = 60.0 kg. Gravity is 9.81 m/s². (a) What is the tension in the string? (b) What are the magnitudes of the accelerations of the two blocks, a, and az respectively? Note that they do not need to be equal to each other because they are measured relative to the ground (the inertial reference frame). (c) What is the direction and magnitude of the acceleration of the cart?
Related questions
Question
100%
Transcribed Image Text:The system shown below consists of two connected blocks resting on a cart that is held motionless
and then released. All surfaces are perfectly smooth (frictionless). The string is inelastic and has
negligible mass, the pulley has negligible mass and friction, and the cart's wheels offer no
dissipative forces. The cart has mass M = 100 kg, the top block has mass m1 = 45.0 kg, and the
hanging block has mass m2 = 60.0 kg. Gravity is 9.81 m/s².
(a) What is the tension in the string?
(b) What are the magnitudes of the accelerations of the two blocks, a, and az respectively? Note
that they do not need to be equal to each other because they are measured relative to the ground
(the inertial reference frame).
(c) What is the direction and magnitude of the acceleration of the cart?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
