Two blocks are connected by a lightweight string passing over a pulley, as shown in the figure below. The block with mass m, = 18.5 kg on the incline plane accelerates up the plane with negligiblefriction. The block's acceleration is a = 1.80 m/s?, and the tension in the segment of string attached to this block is T,. The hanging block has a mass of m, = 24.5 kg, and the tension in the stringattached to it is T,. The radius of the pulley is r = 0.410 m and its moment of inertia is I. The incline plane makes an angle of 0 = 37.0° with the horizontal.aTT2(a) What is the tension force T,? (Give your answer, in N, to at least three significant figures.)(b) What is the tension force T,? (Give your answer, in N, to at least three significant figures.)N(c) Find a symbolic expression for the moment of inertia of the pulley in terms of the tensions T, and T,, the pulley radius r, and the acceleration a. (Do not substitute numerical values; usevariables only.)I =(d) What is the numerical value of the moment of inertia of the pulley? (Give your answer in kg ·m2.)kg • m2

Name: Two blocks are connected by a lightweight string passing over a pulle
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: Two blocks are connected by a lightweight string passing over a pulley, as shown in the figure below. The block with mass m, = 18.5 kg on the incline plane accelerates up the plane with negligiblefriction. The block's acceleration is a = 1.80 m/s?,

Answered: Image /qna-images/answer/ddca2dc7-0476-4b9a-9928-5f698942b014.jpg

Engineering

Mechanical Engineering

Two blocks are connected by a lightweight string passing over a pulley, as shown in the figure below. The block with mass m, = 18.5 kg on the incline plane accelerates up the plane with negligible friction. The block's acceleration is a = 1.80 m/s2, and the tension in the segment of string attached to this block is T,. The hanging block has a mass of m, = 24.5 kg, and the tension in the string attached to it is T. The radius of the pulley is r = 0.410 m and its moment of inertia is I. The incline plane makes an angle of 0 = 37.0° with the horizontal. T T2 (a) What is the tension force T,? (Give your answer, in N, to at least three significant figures.) N (b) What is the tension force T,? (Give your answer, in N, to at least three significant figures.) N (c) Find a symbolic expression for the moment of inertia of the pulley in terms of the tensions T, and T, the pulley radius r, and the acceleration a. (Do not substitute numerical values; use variables only.) I = (d) What is the numerical value of the moment of inertia of the pulley? (Give your answer in kg • m2.) kg • m?

Two blocks are connected by a lightweight string passing over a pulley, as shown in the figure below. The block with mass m, = 18.5 kg on the incline plane accelerates up the plane with negligible friction. The block's acceleration is a = 1.80 m/s2, and the tension in the segment of string attached to this block is T,. The hanging block has a mass of m, = 24.5 kg, and the tension in the string attached to it is T. The radius of the pulley is r = 0.410 m and its moment of inertia is I. The incline plane makes an angle of 0 = 37.0° with the horizontal. T T2 (a) What is the tension force T,? (Give your answer, in N, to at least three significant figures.) N (b) What is the tension force T,? (Give your answer, in N, to at least three significant figures.) N (c) Find a symbolic expression for the moment of inertia of the pulley in terms of the tensions T, and T, the pulley radius r, and the acceleration a. (Do not substitute numerical values; use variables only.) I = (d) What is the numerical value of the moment of inertia of the pulley? (Give your answer in kg • m2.) kg • m?

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.78P: The figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016,...

See similar textbooks

Similar questions

A 25.5 kg mass (m) is suspended by the cable assembly as shown in the figure. The cables have no mass of their own. The cable to the left (T) ) of the mass makes an angle of 0.00 with the horizontal, and the cable to the right (T;) makes an angle (02) of 40.6. If the mass is at rest, what is the tension in each of the cables, T and T; ? The acceleration due to gravity is g = 9.81 m/s?. T T = 123.52 N 123.52 TOOLS x10
weighs 60 N on Earth. (3). A system consists of a pulley (vertical wheel) that is only allowed to rotate (spin). A cord is passed over the pulley and at each end there is a mass attached to the end of the cord. The mass attached on the left is m, =0.6 kg and at the right the mass is m2 = 0.8 kg. a) Calculate both the Tension in the cord and the acceleration of the system. b) What are the accelerations of both masses, if you were to cut the cord? Neglect the friction between cord and wheel,
1. A block of mass m slides down on the surface of a wedge of mass M (see figure below). If there are no frictions between the block and the wedge, and between the wedge and the table, find the acceleration of the wedge, the normal force between the block and the wedge, and the acceleration of m relative to the wedge. Discuss your results in the limit of m<
Q2/ A Body of weight of 40 Kg is pulled along a rough horizontal plane by pull of 20 N acting at an angle of 14 with the horizontal. Find the friction force and normal force (reaction)? 20 N 40 Kg
A ball of mass m, and a block of mass m, are attached by a lightweight cord that passes over a frictionless pulley of negligible mass as in figure (a). The block lies on a frictionless incline of angle 8. Find the magnitude of the acceleration of the two objects and the tension in the cord. (c) The free-body diagram for the block. (The (a) Two objects connected by a incline is frictionless.) lightweight cord strung over a (b) The free-body diagram frictionless pulley. for the ball. m2g sin e mg m2g cose a SOLUTION Conceptualize Imagine the objects in the figure in motion. If m, moves down the incline, m, moves upward. Because the objects are connected by a cord (which we assume does not stretch), the magnitude of the acceleration of m, must be equal to the magnitude of the acceleration of m,. Notice the normal coordinate axes in figure (b) for the ball and the "tilted" axes for the block in figure (c). Categorize We can identify forces on each of the two objects and we are looking for…
A:.. Q1 Two objects are connected by a light string that passes over a frictionless pulley as shown in Figure. Assume the incline is frictionless and take m1 = 2.00 kg, m2 = 6.00 kg, and e = 55.0°. (a) Draw free-body diagrams of both objects. Find (b) the magnitude of the acceleration of the objects, (c) the tension in the string, and (d) the speed of each object 2.00 s after it is .released from rest m2 إضافة ملف صفحة 2 من 4 التالي رجوع إرسال كلمات المرور عبر نماذج Go ogle مطلقا۔ تم إنشاء هذا النموذج داخل University. of Baghdadالإبلاغ عن اساءة
In the figure below, a force F of magnitude 15 N moves a box of mass m2 = 1.5 kg up an incline of angle 0 = 30°. The box is connected by a cord to another box of mass m, = 3.0 kg %3D on a horizontal plane. All the surfaces are frictionless. (a) What is the magnitude of the acceleration of the system? (b) What is the magnitude of the tension in the cord? M1
The friction coefficient between the 3kg object and the 2kg blocks in the figure is 0.3. the horizontal plane and the rollers are frictionless and the masses move from rest. a) Find the acceleration of each blokları by showing the forces acting on each block (free body diagram). b) Find the tension in the ropes. (g = 3,8m / s^2)
In the figure, a force of magnitude 10.4 N is applied to a block of mass m2= 1.1 kg. The force is directed up an incline plane with an angle of 31.7°. The box is connected by a cord to another block of mass m,= 3.5 kg on the floor. The floor, plane, and pulley are frictionless, and the masses of the pulley and cord are negligible. What is the tension in the cord ?in N m2 m 1 الجواب: إجابة
2-) mA = 10 kg, mB = 5 kg, mC = 5 kg Initially at rest. In 2 secs, Block B displaces 3 meters. Calculate: (a) F (b) Tension in cable AD A B Dynamics F D Dynamics C
An engineer is designinga conveyor system for loading haybales into a wagon (Fig.).Each bale is 0.25 m wide, 0.50 mhigh, and 0.80 m long (the dimensionperpendicular to the plane ofthe figure), with mass 30.0 kg. Thecenter of gravity of each bale is atits geometrical center. The coefficientof static friction between abale and the conveyor belt is 0.60, and the belt moves with constantspeed. (a) The angle b of the conveyor is slowly increased. At somecritical angle a bale will tip (if it doesn’t slip first), and at some differentcritical angle it will slip (if it doesn’t tip first). Find the twocritical angles and determine which happens at the smaller angle. (b)Would the outcome of part (a) be different if the coefficient of frictionwere 0.40?
1. Blocks A and B with masses 1.20 and 2.00 kg in the figure are sliding down the incline. The coefficients of kinetic friction are μA = 0.200 and μB = 0.120. The angle of the incline is a = 21.0°. What is the tension in the massless string? Use the value of g = 9.80 m/s².