You are Here: Home >< Maths

# M1 Questions- Rep for those who help!!! watch

1. Q. A box has mass 26kg. It is placed on a horizontal surface. Calculate the magnitude of the normal reaction force acting on the box.

Q. A car is travelling at constant speed on a straight horizontal line. The car experiences a resistance force of magnitude 600N. State the magnitude of the forward driving force acting on the car.

Q. A sphere, which has mass 20kg, is attached to an elastic string. The sphere is in contact with a horizontal surface, with the elastic string vertical. The tension in the string is 20N.
a) Calculate the weight of the sphere
b)Find the normal reaction force acting on the sphere,

Q. A sack, which has weight 200N, is supported in equilibrium by two ropes. The ropes are both at an angle of 30 degrees to the vertical.
a) Show that the tension in each rope is the same
b)Find the tension in the ropes

Q. A particle has weight 500N. The particle is supported by two ropes, which make angles of 40 and 30 degrees to the vertical. Find the tension in each rope.

Q. The forces P= (8i-7j)N and Q= (6i+j)N act on a particle.
a) Find the resultant of P and Q
b) When a third force R also acts the three forces are in equilibrium. Find R.
c) Find the magnitude of R
d) Find the angle between R and the unit vector i.

Q. The forces F1= (15i-17j)N, F2= (9i+14j)N, F3= (3i+11j)N and F4 are in equilibrium.
a) Find F4
b) Find the magnitude of F4
c) Find the angle between F4 and the unit vector i.
2. (Original post by Bowie88)
Q. The forces F1= (15i-17j)N, F2= (9i+14j)N, F3= (3i+11j)N and F4 are in equilibrium.
a) Find F4
b) Find the magnitude of F4
c) Find the angle between F4 and the unit vector i.
Here is my solution to your last question. I'm sure about the angle.
Attached Images

3. (Original post by Bowie88)
Q. A box has mass 26kg. It is placed on a horizontal surface. Calculate the magnitude of the normal reaction force acting on the box.
It's at rest so normal reaction force = weight = mg = 26 x 9.8

(Original post by Bowie88)
Q. A car is travelling at constant speed on a straight horizontal line. The car experiences a resistance force of magnitude 600N. State the magnitude of the forward driving force acting on the car.
It is going at a constant speed so there is no net force. Therefore driving force must equal resistance, so it equals 600N

(Original post by Bowie88)
Q. A sphere, which has mass 20kg, is attached to an elastic string. The sphere is in contact with a horizontal surface, with the elastic string vertical. The tension in the string is 20N.
a) Calculate the weight of the sphere
b)Find the normal reaction force acting on the sphere,
a) Weight = mass x gravity = 20 x 9.8 = 196N
b) Reaction = Weight - Tension = 196 - 20 = 176
4. (Original post by Bowie88)
Q. The forces P= (8i-7j)N and Q= (6i+j)N act on a particle.
a) Find the resultant of P and Q
b) When a third force R also acts the three forces are in equilibrium. Find R.
c) Find the magnitude of R
d) Find the angle between R and the unit vector i.
Here is my solution.
Attached Images

5. (Original post by Bowie88)
Q. A particle has weight 500N. The particle is supported by two ropes, which make angles of 40 and 30 degrees to the vertical. Find the tension in each rope.
Here is my solution. Corrected version ( Thanks to bear)
Attached Images

6. (Original post by steve2005)
Here is my solution.
some of the 40° turned into 60° but it all turned out OK at the end !!
7. (Original post by the bear)
some of the 40° turned into 60° but it all turned out OK at the end !!
Cheers, I originally read the question as having an angle of 60 dgrees... when I posted I noticed my error and did the correction.... seems I missed some.

Thanks
steve

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: November 15, 2005
Today on TSR

### The TSR A-level options discussion thread

Choosing A-levels is hard... we're here to help

### University open days

• Heriot-Watt University
School of Textiles and Design Undergraduate
Fri, 16 Nov '18
• University of Roehampton
Sat, 17 Nov '18
• Edge Hill University
Faculty of Health and Social Care Undergraduate
Sat, 17 Nov '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams