### Problem Statement:A truck equipped with a power winch on its front end pulls itself up a steep incline with the cable and pulley arrangement shown in the diagram. If the cable is wound up on the drum at the constant rate of 48 mm/s, how long does it take for the truck to move 8.86 m up the incline?### Diagram Description:The diagram shows a truck on a steep incline. The truck is attached to a power winch, and a cable extends from the winch, goes through a pulley fixed to a tree, and connects back to the truck. The direction of the cable indicates that as the winch pulls the cable in, it helps the truck ascend the incline.### Calculation Steps:1. **Convert the Cable Speed:** The cable speed is given as 48 mm/s. Convert this speed to meters per second for consistency with the distance: \( 48 \text{ mm/s} = 0.048 \text{ m/s} \)2. **Distance to be Moved:** The truck needs to move a distance of 8.86 meters up the incline.3. **Calculate the Time:** Use the formula for time: \[ t = \frac{distance}{speed} \] Substituting the given values: \[ t = \frac{8.86 \text{ m}}{0.048 \text{ m/s}} = 184.58 \text{ s} \]Therefore, the answer is:### Solution:Answer: \( t = 184.58 \text{ s} \)

Answered: Image /qna-images/answer/cca165bf-27a7-43af-b2e7-db6662db7630.jpg

A truck equipped with a power winch on its front end pulls itself up a steep incline with the cable and pulley arrangement shown. If the cable is wound up on the drum at the constant rate of 48 mm/s, how long does it take for the truck to move 8.86 m up the incline?

A truck equipped with a power winch on its front end pulls itself up a steep incline with the cable and pulley arrangement shown. If the cable is wound up on the drum at the constant rate of 48 mm/s, how long does it take for the truck to move 8.86 m up the incline?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

the weight of the trailer is 2130kg, the weight of the tow truck is 6000kg and the slope of the truck is 2% going on a ramp. The speed of 69km/h when first entering the ramp and 320m along the ramp, then 93km/h is the speed. (i) find the total average force on the wheels of the truck. (ii) calculate the average force between the truck and the trailer.
The electric motor is used to pull a train at a maximum constant speed of 60 km/h. This motor has a power of 340 kW. The train is pulled directly up the inclination of 1 in 180. The tractive resistance against the motion is 80 N.1.Draw the free body diagram representing all forces acting on the train2.Calculate the mass of the train.
1. A force of 64 pounds stretches a spring 2 feet. A mass of 16 pounds is attached to the end of the spring and is initially released from the equilibrium position with a downward velocity of 3 feet per second. Find the equation of motion.
Problem 2 A load is to be raised 12 ft by the hoisting system shown, developed by ASCE Club students to lift various loads to the ceiling of the Construction Materials Laboratory. Assume gear A is initially at rest, then accelerates uniformly to a speed of 110 rpm in 5 s, and then maintains a constant speed of 110 rpm. Gear A has radius A 4.0 in, gear B has radius B = Drum C rotates with gear B. = 22 in, and drum C has radius rc = 18 in. Determine: (a) the number of revolutions executed by gear A in raising the load, (b) the time required to raise the load to 12 ft. TB B с Load rc
1. Two blocks are connected by a pulley system shown in the figure below. Neglect friction between the block on the left and the ramp sloped at angle 0. Suppose that the block on the left has mass m, and that the block on the right is moving downward at a constant speed v. m Given m, 0, and v, answer the questions below. (a) Find the mass of the block on the right? (b) Find the velocity of the block on the left. (c) If the block on the right was moving at a constant speed v upward, instead of downward, how would your answer to Question la change?
The pinion (gear 2 on shaft a) rotates at 635 rev/min clockwise and transmits 1305 W through the idler pair (gears 3 and 4 on shaft b) to the output gear (gear 5 on shaft c). Gears 2 and 3 have a module of 2 mm, and gears 4 and 5 have a module of 3 mm. Pressure angles are all 20 degrees. Solve for the magnitude of the force that shaft b must apply to gears 3 and 4 to maintain static equilibrium in the figure shown here. The figure is not to scale. Please give your answer in units of newtons. geard 615 verimin m₂ = M₁ = 2mm 187 327 187 487 MG M₁ = ₂ = 3mm 0=20° I solved it and дог 692.60 Х សុំ But fr is not correct
The belt tension in the tight and slack sections is 25 N and 15 N, respectively. The belt operates at a speed of 10 m/s. How much power is delivered by the transmission system?
The strings AB and AC connect 500-g mass A to the vertical shaft BC. When the shaft rotates with a constant angular velocity of 15 rad/s, the ball has circular motion in the horizontal plane with the strings having angles of ? = 55° shown in the figure. Find the tension forces at the strings AB and AC.
Two box hang from the ends of a string suspended from a frictionless pulley. The mass on the left is chosen to create a tension of 4 N in the string. The box on the right has a weight of 2 N. What will be the acceleration of the box on the right? Assume the acceleration of gravity is 9.8 m/s?. 4 N 2 N
The torque of the screw jack is 100 N-m and its speed is 30 rpm. Evaluate power of the device
Block A rests on a horizontal tabletop. A light horizontal rope is attached to it and passes over a pulley, and block B is suspended from the free end of the rope. The light rope that connects the two blocks does not slip over the surface of the pulley (radius 0.080 m) because the pulley rotates on a frictionless axle. The horizontal surface on which block A (mass 2.50 kg) moves is frictionless. The system is released from rest, and block B (mass 5.00 kg) moves downward 1.80 m in 2.00 s. A)What is the tension force that the rope exerts on block B ?B)What is the tension force that the rope exerts on block A ?
1. Parcels are moved via conveyor with velocity vo down to a colinear incline that is static at point A where sliding begins. The parcels eventually fall off at point B, which is 7.0 m past A. If the coefficient of kinetic friction on the incline is 0.40, find the velocity of the conveyor belt, vo, such that the parcels have zero velocity at point B. 7m 15°