### Problem Statement1. A 5 kg body resting on a 30° inclined plane is pushed by an applied force of 40 N acting horizontally. The coefficient of friction is 0.1. a) Draw a free body diagram identifying all the forces acting on the body. #### Instructions: - Label the Free Body Diagram (F.B.D.) - Provide explanations for each force acting on the body.### Explanation:In the scenario described, the forces to consider are:- **Gravitational Force (Weight):** Acts vertically downward with a magnitude of \( mg \), where \( m \) is the mass (5 kg) and \( g \) is the gravitational acceleration (9.8 m/s²).- **Normal Force:** Perpendicular to the inclined plane, balancing the component of the gravitational force perpendicular to the plane.- **Applied Force:** Acting horizontally with a magnitude of 40 N.- **Frictional Force:** Opposing the motion along the plane, calculated using the coefficient of friction (\( \mu = 0.1 \)) multiplied by the normal force.- **Components of Gravitational Force:** Decomposed into two components parallel and perpendicular to the plane.To solve the problem, a free body diagram would show the body on an inclined plane with all these forces represented by arrows, each labeled accordingly.

Answered: Image /qna-images/answer/2f09ad08-77b7-473a-95a5-a71071f82239.jpg

Answered: 1. A 5 kg body resting on a 30°…

Similar questions

An object of mass 10. kg is pulled with a force of 30. N in the right direction at an angle of 30. degree with respect to the horizontal. The coefficient of friction between the surface of the object and the floor on which it is kept is 0.20. A) Calculate the acceleration of the body (in m/s2). B) Calculate the normal force acting the body (in N) C) Calculate the friction force of the body (in N)
2. A 10-kg block, initially at rest, is at the top of a rough plane inclined at 10°. The coefficient of kinetic friction between the block and the incline is 0.1, the coefficient of static friction is 0.5. a) What minimum force (magnitude and direction) will start motion of the block down the incline? Present free-body diagram. Motion started, applied force disappears and block is moving on its own. As the block slides down the incline: b)Find the acceleration of the block, present free-body diagram c) Determine the magnitude and the direction of the force of friction acting on the block. d)Calculate the change in the potential energy of the block, after it slides 3m down the incline.
4. A block of mass m accelerates up a slope that has friction. a. Draw a free-body diagram for the block indicating all the forces acting on it. (Note that there must be a force acting on the block in order for it to accelerate up the slope.) b. Write down the equations for Newton's 2nd law for both x and y directions. c. Solve for the applied force Fap in terms of the angle of incline 0, mass m, acceleration of the block a, kinetic friction force fr, and acceleration of gravity g.
What does static equallibrium mean in mechanics for an object which can move in a two dimensional space? Select all that apply. 1. The object is moving. 2. The object is not moving. 3. Assume that x and y directions are perpendicular to each other. The sum of all the forces on the object is zero in the x direction, but not in the y direction. 4. The sum of all the forces on the object is zero in the y direction, but not in the x direction. 5. The sum of all the forces on the object is zero in both the x and y directions, but not necessarily in all other directions.
2. A 10. Kg box pulled with a 40. N force at an angle of 20. degrees above the horizontal. The coefficient of kinetic friction is 0.20. Note it is moving along the table top. a) Draw a FBD showing all forces and the components of the pulling force. b) Determine the normal force. c) Determine force of friction acting on the box. d) Determine the acceleration of the box. e) Assume the box started from rest and was pulled for 2.0 seconds. Then the pulling force was removed. (i) Find the speed of the box after the 2.0 seconds. (ii) Determine how long it took for the box to come to rest after the pulling force was removed. 10kg -> 40N <200
3. A block of mass m = 5.9 kg is pulled up a 0 = 21° incline as in the figure below with a force of magnitude F = 37 N. (Hint: remember to measure all angles from +x axis.) y a. Draw a free body diagram showing all the forces. NORml Fte F Mass = 5.9k 0-21° F-37N there b. Determine the x and y components of all the forces. X Components of Force f = 37 N Y comporents of Force F=0N X componnt of normal force=ON * Componis of weight=-5.9x 9.8x Sin 210=70. FJN Y Comperents of weight=5.9a 9.8 x Casal. - 53.98 Y Compenents of normal force=mglos H%53.98, c. Write equations summing all the x components and all the y components. F-mg Sm@= mxa 37-20.72= 5.9x a 2.7l6 = Comporunts) Normal force - mg les 0: 05 53.98-53.98-0o d. Find the acceleration of the block if the incline is frictionless. (Give the magnitude of the acceleration. Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.12. (Give the magnitude of the acceleration.) е. 3
1. Two forces act on a 25 kg cart. One force has a magnitude of 30 N and is directed east. The other force has a magnitude of 25 N and is directed at an angle of 45° north of east. (Draw free-body diagram here) a. What is the net force on the cart? (Include direction.) b. What is the acceleration of the cart?
A worker pulls a crate of mass, m, via a uniform, massless cable that is attached to the crate at an angle, θ, above the horizontal. The resultant tension in the cable is T. What is the normal force acting on the crate? a. mg b. mg + Tsinθ c. mg - Tcosθ d. mg - Tsinθ e. Tsinθ
1) The block on a 60° inclined plane weighs 100 pound and is held by the minimum possible force T as shown in the figure. The coefficient of both static and kinetic friction between the block and the inclined plane is 0.2, and the pulleys are frictionless. T а. Draw the free body diagram (FBD) of the block showing all forces and their directions acting on it. b. Compute all unknown forces including T shown in your FBD. Now if you want to move the block upward on the inclined plane С. by applying minimum possible force T then draw the FBD of the block showing all forces with directions acting on it. d. Now assume the pulleys are stuck (do not rotate any more) and the 60° rope slides over the stuck pulleys as the block moves up. the coefficient of both static and kinetic friction between the pulley surface and the rope is 0.1. Draw the FBD of the block showing all forces with directions acting on the block when the block is pulled upward by the minimum rope force T. е. For the stuck…

1. A 5 kg body resting on a 30° inclined plane is pushed by an applied force of 40N acting horizontally. The coefficient of friction is 0.1 a) Draw a free body diagram identifying all the forces acting on the body. F.B.D. Explanations