Statics and Mechanics of Materials
2nd Edition
ISBN: 9780073398167
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David Mazurek
Publisher: McGraw-Hill Education
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Chapter 2, Problem 107RP
To determine
The resultant of the forces.
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Bài 1.
Cho cơ hệ như hình 1. Hình biểu diễn lược đổ cơ hệ tại vị trí cân bằng tĩnh. Trục tọa độ
Oy hướng theo phương chuyển động của vật 1, gốc O đặt tại vị trí cân bằng của vật 1(tức
khi lò xo biến dạng tĩnh). Bỏ qua khối lượng của thanh số 3. Vật rắn 2 là pulley 2 tầng
đồng chất có bán kính ngoài 21, bán kính trong I, bán kính quán tính đối với trục qua tâm
P-1.5, khối lượng m:. Vật rắn 4 là thanh thắng đồng chất có khối lượng m, chiều dài
1. Cho các số liệu: m = 2kg, m= = 5kg, m = 4kg, k=40(N/cm), ! – 0.8(m),r=0.1(m).
Điều kiện đầu y; =0.5 cm );j = 10 cm/s) . Giả sử hệ dao động bé, Vật rắn 2 chuyển động
lăn không trượt trên mặt phẳng ngang.
1. Viết phương trình chuyển động của hệ.
2. Xác định tần số dao động tự do của hệ.
3. Xác định đáp ứng dao động tự do của hệ.
dây
dây
1
2r
Hình 1
y
3
-2
I
k
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Hints: Find the closed loop transfer function and then plot the step response for diFerentvalues of K in MATLAB. Show step response plot for different values of K.
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Obtain the response of the system shown below for a parabolic or acceleration input r(t);where
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Chapter 2 Solutions
Statics and Mechanics of Materials
Ch. 2.1 - 2.1 and 2.2 Determine graphically the magnitude...Ch. 2.1 - 2.1 and 2.2 Determine graphically the magnitude...Ch. 2.1 - Two structural members B and C are bolted to...Ch. 2.1 - Two structural members B and C are bolted to...Ch. 2.1 - The 300-lb force is to be resolved into components...Ch. 2.1 - The 300-lb force is to be resolved into components...Ch. 2.1 - A trolley that moves along a horizontal beam is...Ch. 2.1 - A disabled automobile is pulled by means of two...Ch. 2.1 - Two forces are applied as shown to a hook support....Ch. 2.1 - A disabled automobile is pulled by means of two...
Ch. 2.1 - A trolley that moves along a horizontal beam is...Ch. 2.1 - For the hook support shown, determine by...Ch. 2.1 - The cable stays AB and AD help support pole AC....Ch. 2.1 - Solve Prob. 2.4 by trigonometry.Ch. 2.1 - For the hook support of Prob. 2.9, determine by...Ch. 2.2 - 2.16 and 2.17 Determine the x and y components of...Ch. 2.2 - 2.16 and 2.17 Determine the x and y components of...Ch. 2.2 - 2.18 and 2.10 Determine the x and y components of...Ch. 2.2 - 2.18 and 2.19 Determine the x and y components of...Ch. 2.2 - Member BD exerts on member ABC a force P directed...Ch. 2.2 - Member BC exerts on member AC a force P directed...Ch. 2.2 - Cable AC exerts on beam AB a force P directed...Ch. 2.2 - The hydraulic cylinder BD exerts on member ABC a...Ch. 2.2 - Prob. 24PCh. 2.2 - Determine the resultant of the three forces of...Ch. 2.2 - Determine the resultant of the three forces of...Ch. 2.2 - Determine the resultant of the three forces of...Ch. 2.2 - For the collar loaded as shown, determine (a) the...Ch. 2.2 - Prob. 29PCh. 2.2 - A hoist trolley is subjected to the three forces...Ch. 2.2 - For the post loaded as shown, determine (a) the...Ch. 2.3 - Two cables are tied together at C and are loaded...Ch. 2.3 - 2.33 and 2.34 Two cables are tied together at C...Ch. 2.3 - Prob. 34PCh. 2.3 - Prob. 35PCh. 2.3 - Prob. 36PCh. 2.3 - Two forces of magnitude TA=8 kips and TB=15 kips...Ch. 2.3 - Prob. 38PCh. 2.3 - Prob. 39PCh. 2.3 - Two forces P and Q are applied as shown to an...Ch. 2.3 - Prob. 41PCh. 2.3 - A sailor is being rescued using a boatswains chair...Ch. 2.3 - For the cables of Prob. 2.32, find the value of a...Ch. 2.3 - Prob. 44PCh. 2.3 - Prob. 45PCh. 2.3 - Prob. 46PCh. 2.3 - Two cables tied together at C are loaded as shown....Ch. 2.3 - Collar A is connected as shown to a 50-1b load and...Ch. 2.3 - Cogar A is connected as shown to a 50-lb load and...Ch. 2.3 - A movable bin and its contents have a combined...Ch. 2.3 - A 600 lb crate is supported by several...Ch. 2.3 - Prob. 52PCh. 2.3 - A 200-kg crate is to be supported by the...Ch. 2.3 - Prob. 54PCh. 2.3 - Prob. 55PCh. 2.4 - Determine (a) the x, y, and z components of the...Ch. 2.4 - Determine (a) the x, y, and z components of the...Ch. 2.4 - The end of the coaxial cable AE is attached to the...Ch. 2.4 - The end of the coaxial cable AE is attached to the...Ch. 2.4 - A gun is aimed at a point A located 35 east of...Ch. 2.4 - Prob. 61PCh. 2.4 - Determine the magnitude and direction of the force...Ch. 2.4 - Prob. 63PCh. 2.4 - Prob. 64PCh. 2.4 - Prob. 65PCh. 2.4 - Prob. 66PCh. 2.4 - Prob. 67PCh. 2.4 - Prob. 68PCh. 2.4 - Prob. 69PCh. 2.4 - In order to move a wrecked truck, two cables are...Ch. 2.4 - In order to move a wrecked truck, two cables are...Ch. 2.4 - Prob. 72PCh. 2.4 - Prob. 73PCh. 2.4 - Knowing that the tension is 425 lb in cable AB and...Ch. 2.4 - Knowing that the tension is 510 lb in cable AB and...Ch. 2.4 - A frame ABC is supported in part by cable DBE that...Ch. 2.4 - For the plate of Prob. 2.68, determine the...Ch. 2.4 - The boom OA carries a load P and is supported by...Ch. 2.4 - For the boom and loading of Prob. 2.78, determine...Ch. 2.5 - A container is supported by three cables that are...Ch. 2.5 - A container is supported by three cables that are...Ch. 2.5 - A crate is supported by three cables as shown....Ch. 2.5 - A crate is supported by three cables as shown....Ch. 2.5 - A crate is supported by three cables as shown....Ch. 2.5 - A 1600-lb crate is supported by three cables as...Ch. 2.5 - Three wires are connected at point D, which is...Ch. 2.5 - Prob. 87PCh. 2.5 - A rectangular plate is supported by three cables...Ch. 2.5 - A rectangular plate is supported by three cables...Ch. 2.5 - Prob. 90PCh. 2.5 - Solve Prob. 2.90, assuming that a fiend is helping...Ch. 2.5 - Prob. 92PCh. 2.5 - Prob. 93PCh. 2.5 - Prob. 94PCh. 2.5 - Prob. 95PCh. 2.5 - Prob. 96PCh. 2.5 - Prob. 97PCh. 2.5 - Prob. 98PCh. 2.5 - Prob. 99PCh. 2.5 - Prob. 100PCh. 2.5 - Prob. 101PCh. 2.5 - Prob. 102PCh. 2.5 - Solve Prob. 2.102 assuming that y=275mm.Ch. 2 - Two structural members A and B are bolted to a...Ch. 2 - Determine the x and y components of each of the...Ch. 2 - The hydraulic cylinder BC exerts on member AB a...Ch. 2 - Prob. 107RPCh. 2 - Knowing that a=20, determine the tension (a) in...Ch. 2 - Prob. 109RPCh. 2 - Prob. 110RPCh. 2 - Prob. 111RPCh. 2 - Prob. 112RPCh. 2 - Prob. 113RPCh. 2 - A transmission tower is held by three guy wires...Ch. 2 - Prob. 115RP
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