Concept explainers
(a)
The acceleration of each of the blocks.
(a)
Explanation of Solution
Introduction:
The free-body diagram for both the block is shown in Figure 1
Figure 1
In the above diagram is shown that the force on the block
Conclusion:
Therefore, the free body diagram for both blocks is shown in Figure 1
(b)
The expression for the acceleration of the block and the tension in the string.
(b)
Answer to Problem 82P
The expression for the acceleration is
Explanation of Solution
Calculation:
The equation of motion for the block
The equation of motion for the block
The expression for the acceleration of the block is evaluated as,
The expression for the tension in the string is evaluated a,
Conclusion:
Therefore, the expression for the acceleration is
(c)
Whether the expressions for the tension and the acceleration gives the plausible results if
(c)
Answer to Problem 82P
The value of tension for the condition
Explanation of Solution
Calculation:
For the value of
For the value of
For the value of
For the value of
For the value of
For the value of
Conclusion:
Therefore, the value of tension for the condition
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Chapter 4 Solutions
Physics for Scientists and Engineers
- Draw a diagram of the situation and label the givens in the problem: The cart's mass and the hanger's mass. Also label the direction of the cart and hanger's acceleration. Draw two force diagrams. One for the cart and one for the hanger. You can treat the track as frictionless. Remember that the force in the string will be the same throughout the entire string. Then define an x-y coordinate system and find the x and y components of the forces in your diagrams.arrow_forwardThe figure shows a system in equilibrium, composed of three bodies connected through an ideal rope that passes through a pair of pulleys, also ideal. Consider that there is no friction in the entire system. Draw the Free Body Diagram (FBD) of each body and write the system of equations that describe the system. Joogarrow_forwardTwo blocks are connected by a massless, stretchless string. One of the blocks is on a horizontal frictionlesssurface. The string goes over a massless, frictionless pulley. The second mass simply hangs from the string. Between thefirst block and the pulley the string is parallel to the horizontal surface.a) Draw the free-body diagram for the first block (the one on the surface).b) Draw the free-body diagram for the second block (the hanging mass).c) Setup Newton’s second law for the first block.d) Setup Newton’s second law for the second block.e) Symbolically, what is the magnitude of m1’s acceleration?f) Symbolically, what is the magnitude of the tension in the string?Answer the following questions using the equation you derived in part (e) above.g) What is the magnitude of m1’s acceleration if m1 is 5.00 kg and m2 is 1.00 kg?h) What is the magnitude of m1’s acceleration if m1 is 1.00 kg and m2 is 5.00 kg?i) What is the magnitude of m1’s acceleration if m1 is 3.00 kg and m2 is 3.00…arrow_forward
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- In the figure, there is a schematic representation of the route followed by a roller coaster. The vehicle with mass m starts to descend with velocity v after climbing a hill of height h. The tool then travels through the vertical circle of radius R, p the horizontal curve of radius, and finally crosses the hills of radius r. Assuming that there is friction between the vehicle and the surface only in the horizontal curve a)What is the reaction force acting on the vehicle at the top of the vertical circle? b)What is the reaction force acting on the vehicle at the lower point of the vertical circle? c)If the friction coefficient is c, what is the maximum speed that the vehicle can pass through the curve. (m= 140kg V=2 m/s h=110m R=20 m p=13m c=0.6)arrow_forwardForces stick-block. In the figure below, a 37 kg block is pushed across a frictionless floor by means of a 3.8 kg stick. The block moves from rest through distance d = 73 cm in 1.5 s at constant acceleration. (a) Identify all horizontal third-law force pairs. (b) What is the magnitude of the force on the stick from the hand? (c) What is the magnitude of the force on the block from the stick? (d) What is the magnitude of the net force on the stick? (a) OF (b) Number SB = = HB = (c) Number i (d) Number i FSH (hand and stick) F BS (stick and block) F BH (hand and block) Units Units Units m M Frictionless surfacearrow_forwardthe frictionless pulley are negligible, (a) find an equation for the acceleration of the two blocks; (b) find an equation for the tension in the string; and (c) find both the acceleration and tension when block 1 has mass 2.00 kg and block 2 has mass 4.00 42. The device shown below is the Atwood's machine considered in Example 6.5 . Assuming that the masses of the string and kg.arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University