Determine whether the block shown is in equilibrium and find the magnitude and direction of the friction force when = 35° and P=196 N. Given: Ms = 0.20 and μk = 0.15. 800 N 25° The block is not in equilibrium. True The magnitude and direction of the friction force is ( NK
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- 6. Determine whether the block shown is in eguilibrium and find the magnitude and direction of the friction force when P = 150 N. 500 N µ, = 0.30 Hk = 0.25 20°{Determine whether the block shown is in equilibrium and find the magnitude and direction of the friction force when P = 100lb. 50 lb H, = 0.40 Hi = 0.30 40° 30° O Block is in Equilibrium, F-43.032 Ib, 30 deg. with the Harizantal Axis O Block is in Equilibrium, F-32.274 b, 40 deg. with the Harizontal Axis O Block is not in Equilibrium, F-32.274 lb, 30 deg. with the Horizontal Axis O Block is in Equilibrium, F-32.274 b, 30 deg. with the Horizontal Avis O Block is not in Equilibrium, F-43.032 lb, 30 deg, with the Horizontal AxisPROBLEM 2.78 A vibration isolation unit consists of two blocks of hard rubber bonded to plate AB and to rigid supports as shown. For the type and grade of rubber used r =1.54 MPa and G=12.6 MPa. Knowing that a centric vertical force of magnitude P=13 kN must cause a 2.5-mm vertical deflection of the plate AB, determine the smallest allowable dimensions a and b of the block. 75 mm bnin = 56.3 mm = 20.5 mm a min
- A 40m steel tape is suspended in the air between a theodolite and vertical rod, which is placed exactly at the 40m mark, under a pull of 12.5kg. The slope of the measured line is 2-degree 40minutes. The tape weighs 1kg, standard pull of 8.5kg, cross-sectional area of 0.039cm^2 and E= 2x106 kg/cm^2. Determine the correction for sag of the tape in meter. Determine the horizontal distance between the theodolite and rod in meters. (Apply 5-decimal places - for letter B only) What additional pull must be applied to eliminate the effect of sag?Line AB was determined to be 2395.25m when measured with a 30m-steel tape supported throughout its length under a pull of 4kg and at a mean temperature of 35°C. The cross- sectional area of the tape is 0.03 cm^2, coefficient of thermal expansion is 0.0000116/°C and modulus of elasticity of steel is 2.0x10^6 kg/cm^2. Determine а. Correction for the measured length due to temperature if the tape used is of standard length at a temperature of 20°C. Is the tape too long or too short? b. Correction for the measured length due to tension if the tape used is of standard length at a pull of 5 kg. Is the tape too long or too short? C. Correction for the measured length due to sag if it weighs 0.04kg/m d. the corrected length of line AB considering corrections from (a), (b) and (c)2. The velocity distribution of a viscous liquid flowing over a fixed plate is given as V= 0.68 y - y? for 0sy<0.34 m. "y" is the distance from the plate in meters and the unit of the velocity is m/s. Calculate the shear stress at the plate surface (y=0) and 0.34 m away from the plate (0.9 Ns/m2). Draw the velocity and shear stress profiles. Fixed plate flow
- A line is recorded as 472.90 m long. It is measured with a 0.65 kg tape which is 30.005 m long at 20 °C under a 50 N pull supported at both ends. During measurement, the temperature is 5 °C and the tape is suspended under a 75 N pull. The line is measured on 3% grade. E = 200 GPa, cross-sectional area of the tape is 3 mm2 and the coefficient of linear expansion is 0.0000116 m/°C. a. Compute the actual length of tape during measurement. b. Compute the total error to be corrected for the inclined distance. c. What is the true horizontal distance?A hollow circular tube is subjected to a tension force of 30 KN, a tensile stress of 20 MPa was recorded.lf the outer diameter of the tube is 100 mm, the inner diameter will be eqaual to. a. 93.95 mm O b. 89.95 mm C. 85.95 mm o d. 91.95 mmTake o, = 580 kPa (Figure 1) Express your answer to three significant figures and include the appropriate units. HÀ ? o, = Value Units Submit Request Answer Figure Part B Determine the shear stress acting on the inclined plane AB. Express your answer to three significant figures and include the appropriate units. В HA ? 30° Value Units A
- A steel flat 10 cm wide and 2 cm thick is bent into a circular arc of 50m radius.Find the maximum intensity of stress induced. Take E = 2.05 * 10 ^ 5 N/mm².Refer to Figure 10.43. A strip load of q = 1450 lb/ft2 is applied over a width with B = 48 ft. Determine the increase in vertical stress at point A located z = 21 ft below the surface. Given x = 28.8 ft. Figure 10.43Numerical Analysis (HW. #1) The vertical stress increment (Ao) due to a point load acting on the surface of linearly elastic medium is given as: 3P23 Ao 27Vr? + z? where P is the magnitude of the load, r is the lateral distance, and z is the depth of the point where the stress is to be calculated. If P = 10g kN and r = using two methods: fixed-point and Newton-Raphson method) the depth z at which the stress increment Ao = 10n kN/m?. (Take g=student group number A=1, B=2, 1.5 m, determine (by C=3, D=4, and E=5, n=student number in his/her group, and & =1x10-6)