Blocks A, B, and C are placed as in the figure below and connected by ropes of negligible mass. Both A and B have masses equal to 1.0 kg and the coefficient of friction between each block and the surface is 0.35. Initially, block C descends at a constant acceleration of 0.5 m/s². If the angle of the incline is 25 degrees; 1. Find the tension in the rope connecting blocks A and B. 2. Find the mass of block C. 3. Find the normal force on block B. 4. Find the acceleration of C if the cord between A and B was cut. Use g = 9.81. B C A

Blocks A, B, and C are placed as in the figure below and connected by ropes of negligible mass. Both A and B have masses equal to 1.0 kg and the coefficient of friction between each block and the surface is 0.35. Initially, block C descends at a constant acceleration of 0.5 m/s². If the angle of the incline is 25 degrees; 1. Find the tension in the rope connecting blocks A and B. 2. Find the mass of block C. 3. Find the normal force on block B. 4. Find the acceleration of C if the cord between A and B was cut. Use g = 9.81. B C A

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section: Chapter Questions

Problem 80A

See similar textbooks

Similar questions

A push and a pull of magnitude F1=3.9 N and F2=5.8 N act on a block of weight 11 N resting and not moving on a rough surface as shown in the figure linked below. The push F1 is horizontal, while the pull F2 acts at angle θ=46 deg with the horizontal How large is the friction force exerted by the surface on the block?
An elevator, complete with contents, has a mass of 2000.0 kg. For each of the two situations described in a) and b) below, do the following. - Draw a free-body diagram showing the correct relative lengths of the Tand the F vectors. - Determine the value of T (the tension in the elevator cable). - State the value of the real weight and the apparent weight in each case. • a. The elevator is moving up at a constant velocity of 2.0 m/s. • b. The elevator is moving up at a constant acceleration of 1.0 m/s squared?
Find the tension in the horizontal portion of the string. Is the tension the same for all angles? Why or why not? (Please include the formula you derived to find the tension.)
Shown below is a body of mass 5.0 kg under the influence of the forces FA, FB and mg. If the body accelerates to the left at 37 m/s2, what are FA and FB? (Express your answers in vector form in newtons. Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)
Two blocks, each of mass m, are hung from the ceiling of an elevator as in Figure P4.33. The elevator has an upward acceleration a. The strings have negligible mass. (a) Find the tensions T1 and T2 in the upper and lower strings in terms of m, a, and g. (b) Compare the two tensions and determine which string would break first if a is made sufficiently large. (c) What are the tensions if the cable supporting the elevator breaks? Figure P4.33 Problems 33 and 34.
A sledge is being pulled by two horses on a flat terrain. The net force on the sledge can be expressed in the Cartesian coordinate system as vector , where and denote directions to the east and north, respectively. Find the magnitude and direction of the pull.
A contestant in a winter sporting event pushes an mm kg block of ice across a frozen lake by applying a force FF at an angle θθ below the horizontal as shown. Assume that the coefficient of static friction for ice on ice is 0.0300, and the coefficient of kinetic friction for the same is 0.0100. Let to the right be the positive x direction and up be the positive y direction for your equations. Obtain a numeric value, in newtons, for the magnitude of the maximum applied force, F, consistent with static friction when the force makes an angle 32° below the horizontal and the mass of the block is 63 kg. Obtain a numeric value for the acceleration, a, in meters per squared seconds, when the mass of the block is 63 kg and the angle of the rope is 32° below the horizontal.
A crane lift a load of bricks of mass 1,750 kg at initial acceleration of 1.64 m/s^2. Calculate the tension in the cable? ?N
Shown to the right is a block of mass m = 12.9 kg sitting on a ramp that makes an angle θ = 27° with the horizontal. This block is being pushed by a horizontal force F = 211 N. The coefficient of kinetic friction between the two surfaces is μ = 0.41. a. Write an equation for the acceleration of the block up the ramp using variables from the problem statement together with g for the acceleration due to gravity. b. Find the acceleration of the block up the ramp in m/s2.
Given the following information, how would you find the acceleration of the two block system? "Two blocks with masses m1 and m2 are connected by a massless string and sliding down a plane inclined at an angle ?, as shown in the figure below. The kinetic coefficient of friction between block m1 and the inclined plane is ?2, and ?3 for block m2. You can assume that the acceleration due to gravity is given as ?."
A contestant in a winter sporting event pulls an m kg block of ice across a frozen lake by applying a force F at an angle θ above the horizontal as shown. Assume that the coefficient of static friction for ice on ice is 0.0300, and the coefficient of kinetic friction for the same is 0.0100. Let to the right be the positive x direction and up be the positive y direction for your equations. Obtain a numeric value, in newtons, for the magnitude of the maximum applied force, F, consistent with static friction when the force makes an angle 22° above the horizontal and the mass of the block is 34 kg. Obtain a numeric value for the acceleration, a, in meters per squared seconds, when the mass of the block is 34 kg and the angle of the rope is 22° above the horizontal.
Two blocks, with masses m=3.6 kg and M=7.1 kg, are connected by a lightweight wire that's shown in the picture. The incline makes an angle of 55 degrees with the horizontal and the coefficient of friction between each block and the surface is 0.200. Find a) the acceleration of the blocks and b) the tension in the string.