The figure below shows a clawhammer as it is being used to pull a nail out of a horizontal board. A force of magnitude 152 N is exerted horizontally as shown. (Assume that the force the hammer exerts on the nail is parallel to the nail and perpendicular to the position vector from the point of contact. The x-component of this force's lever arm is 5 cm.) 30.0 cm Single point of contact 30.09 5.00 cm (a) Find the force exerted by the hammer claws on the nail. (Enter the magnitude.) (b) Find the force exerted by the surface at the point of contact with the hammer head. (Assume the positive x-axis is to the right.) magnitude N direction ° counterclockwise from the +x-axis

Use the component method to add the vectors A and B shown in Figure P3.9. Both vectors have magnitudes of 3.00 m and vector A makes an angle of = 30.0 with the x axis. Express the resultant A+B in unit-vector notation.

A force vector A has x and y components, respectively, of -8.80 units of force and 15.00 units of force. The x and y components of force vector B are, respectively, 13.20 units of force and -6.60 units of force. Find the components of force vector C that satisfies the vector equation AB+3C=0 .

Find the angles that vector makes with the and axes.

Over the Christmas break, you are making some extra money for buying presents by working in a factory, helping to move crates around. At one particular time, you find that all the handtrucks, dollies, and carts are in use, so you must move a crate across the room a straight-line distance of 35.0 m without the assistance of these devices. You notice that the crate has a rope attached to the middle of one of its vertical faces. You decide to move the crate by pulling on the rope. The crate has a mass of 130 kg, and the coefficient of kinetic friction between the crate and the concrete floor is 0.350. (a) Determine the angle relative to the horizontal at which you should pull upward on the rope so that you can move the crate over the desired distance with the force of the smallest magnitude. (b) At this angle of pulling on the rope, how much work do you do in dragging the crate over the desired distanced?

Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when |A+B|=3.0cm and |AB|=3.0cm .

The following figure shows a triangle formed by the three vectors A , B , and C . If vector C is drawn between the midpoints of vectors A and B , show that C=C/2

If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.

A telephone pole has three cables pulling as shown from above, with and (a) Find the net force on the telephone pole in component form. (b) Find the magnitude and direction of this net force.

While sliding a couch across a floor, Andrea and Jennifer exert forces FA and FJ on the couch. Andrea’s force is due north with a magnitude of 130.0 N and Jennifer’s force is 32 east of north with a magnitude of 180.0 N. (a) Find the net force in component form. (b) Find the magnitude and direction of the net force. (c) If Andrea and Jennifer’s housemates, David and Stephanie, disagree with the move and want to prevent its relocation, with what combined forceFDS should they push so that the couch does not move?