Prob6 conveyor belt discharges gravel into a barge as shown at a rate of 40 m³/min. If the gravel specific weight 18860 N/m³ 120 lbf, what is the tension in the hawser that secures the barge to the dock? Conveyor belt F-10 m/s Hawser Dock Gravel Barge Gravel 20

A projectile is launched at an angle of 45 degrees from the top of a 100 m tall cliff at 50 m/s.  How high does the projectile fly above the bottom of the cliff?  Use g = -10 m/s/s.

A train has a weight of 100 tons (2,000lbf) is stopped from 4 mph in 1 ft by a hydraulic cushion.If rolling friction is 0.05 of the car weight, Find: • The stopping force using the gs method • The stopping force using the energy method

A69 A typical escalator in the London Under- ground rises at an angle of 30° to the horizontal. It lifts people through a vertical height of 15 m in 1.0 minute. Assuming all the passengers stand still whilst on the escalator, 75 people can step on at the bottom and off at the top in each minute. Take the average mass of a passenger to be 75 kg. (a) Find the power needed to lift the passen- gers when the escalator is fully laden. For this calculation assume that any kinetic energy given to the passengers by the escalator is negligible. (b) The frictional force in the escalator system is 1.4 x 10*N when the escalator is fully laden. Calculate the power needed to overcome the friction. Hence find the power input for the motor driving the fully laden escalator, given that the motor is only 70% efficient. (c) When the passengers walk up the moving escalator, is more or less power required by the motor to maintain the escalator at the same speed? Explain your answer. (0 & C, '90]

Consider a train consisting of an engine of mass 55 tonne pulling 10 trucks, each of mass 13 tonne, travelling up an incline of 1 in 100 (sine). The rolling resistance to motion is 40 N/tonne, and the train's speed is increased from 20 km/h to 37 km/h over a distance of 600 m.       Calculate:    the total mass of the train:   kg.    the change in height of the train: metres.    the change in potential energy of the train:  MJ.   the starting velocity of the train: m/s.    the final velocity of the train: m/s.    the change in kinetic energy of the train: MJ.    the work done against the rolling resistance: MJ.    the total work done by the engine: MJ.

b) Figure Q3 shows a vehicle uses water scooping to slow down. The scoop is 3-m wide. Draw the free body diagram of the scoop. Determine the amount of force exerted on the scoop. If the force exerted by the flow to the scoop is 460 kN, determine the velocity of the vehicle. The vehicle scoops off 10 cm of water.

A TRUCK is SHoleliNG LiquiD slusH (8 = 20 kg/m²) THE SUSH is THROWN FORWARD AT 0= 60° As SHOWN , THE BADE is 3m wiDE. I h= 0.5m a) calalatE THE HasS Fow RATE OF slusH REMOVED FROM THE ROAD b) MAKE A SCHEMATIC OF A CONTRd voluMe AROUND THE BlADE INDICATE FORCES AND MASS FOw RATES IN 2 QUT OF THE CV. c calculATE THE VERTICA FORCE THAT THE slusH EXERTS ON THE elADE (NEGATIVE OP (MAGNITUDE 8 DIRECTiON) THE REACTION FORCE d) dalolATE THE HORIZONTA) FOROE AT THE shSH ERERTS ON THE BLADE (HAGN ITUDE E DIRECTnioN) berRA "e) How is THE TRUCK ABle To PROJIDE SUCH HORizoNTAl FORCE ? *F) waulo A LARGER O (Sax e=90°) RESUT iN A LARGER OR SMAller HorizONnA) FORCE

Fluid flows through the pipe out of a rigid tank in the shape of a cube. During that process, heat is transferred into the rigid tank. Show the correct final form of energy equation valve m_cv2*u_cv2-m_cv1*u_cv1=-m_out*h_out+Q_in m_cv2*u_cv2-m_cv1*u_cv1=-m_out*h_out+Q_in+W_in m_cv2*u_cv2-m_cv1*u_cv1=m_in*h_in+Q_in-W_out m_cv2*u_cv2-m_cv1*u_cv1=-m_out*h_out-Q_out O m_cv2*u_cv2-m_cv1*u_cv1=m_in*h_in+Q_in

An open cylinder tank, D= 1.0m, h=1.5m, contain water at depth 1.0m. If this tank rotate about its central vertical axis. Its the angular velocity without falling water from its open end * 8 rad/sec 8 rev/min 5 rad/sec 4.5 rad/min none of these=..

You are designing a hydraulic lift for an automobile garage. It will consist of two oil-filled cylindrical pipes of different diameters. A worker pushes down on a piston at one end (d = 25cm), raising the car on a platform at the other end (d=?). To handle a full range of jobs, you must be able to lift cars up to 3000 kg, plus the 700 kg platform on which they are parked. To avoid injury to your workers, the maximum amount of force a worker should need to exert is 100 N. What should be the diameter of the pipe under the platform? If the worker pushes down with a stroke 50 cm long, by how much will he raise the car at the other end?