L OF ENGINEERING IINT OF CIVII \& INVIRONMINIAI I NGINI I IRING N 2 \( B C \) is supported by ball and socket supports at \( A \) and \( C \) and the ca )-lb suspended weight. What is the tension in cable \( \mathrm{BD} \) ? RSTION 3 coal wagon shown in the figure is used to haul coal from a mine. If the mass gon is \( 2500 \mathrm{~kg} \), Determine 1. The force \( P \) required to move the wagon at a constant velocity? 2. The force exerted on the front tire by the incline surface? 3. The force exeried on the rear tire by the incline surface?
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The cab and motor units of the front-end loader shown are connected by a vertical pin located $2 \mathrm{m}$ behind the cab whels. The distance from $C$ to $D$ is $1 \mathrm{m}$. The center of gravity of the $300 \mathrm{kN}$ motor unit is located at $G_{m}$, while the centers of gravity of the $100-\mathrm{kN}$ cab and $75-\mathrm{kN}$ load are located, respectively, at $G_{c}$ and $G_{l} .$ Knowing that the machine is at rest with its brakes released, determine $(a)$ the reactions at each of the four wheels, (b) the forces exerted on the motor unit at $C$ and $D .$
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$\bullet$$\bullet$ A $1130-\mathrm{kg}$ car is held in place by a light cable on a very smooth (frictionless) ramp, as shown in Fig. 5.39 . The cable makes an angle of $31.0^{\circ}$ above the surface of the ramp, and the ramp itself rises at $25.0^{\circ}$ above the horizontal. (a) Draw a free- body diagram for the car. (b) Find the tension in the cable. (c) How hard does the surface of the ramp push on the car?
Column-1 (a) Block of mass $2 \mathrm{~kg}$ on a rough horizontal surface pulled by a horizontal force of $20 \mathrm{~N}, \mu_{\mathrm{SL}}=0.5$ (b) Block of mass $2 \mathrm{~kg}$ pulled with constant speed up an incline of inclination $30^{\circ}$ and coeflicient of friction $\frac{1}{\sqrt{3}}$ (c) Block of mass $0.75 \mathrm{~kg}$ pulled by a constant [orce of $7.5 \mathrm{~N}$ upon inclinc of inclination $30^{\circ}$ and coefficient of friction $\frac{1}{\sqrt{3}}$ (d) Block of mass $2 \mathrm{~kg}$ pulled vertically by a force $20 \mathrm{~N}$ Column-lI (p) 'l'ension at the mid point of block is $10 \mathrm{~N}$ (q) \Lambdacceleration of block is $5 \mathrm{~m} / \mathrm{s}^{2}$ (r) Force of friction acting is $5 \mathrm{~N}$ (s) Resultant force on the block is zero
Laws of Motion and Friction
Section D
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