Muestra la cuerda de escalada y el mosquetón.

Yes. Here muestra is the affirmative tú command of mostrar (to show).

• mostrar → muestra = show! when speaking to one person informally
• Example pattern:
  • Muestra la cuerda. = Show the rope.

A useful thing to know is that muestra can also be the él/ella/usted present form (he/she/you formal shows), so the form by itself can have more than one use. In this sentence, context tells you it is a command.

It is informal singular, used with tú.

If you wanted other command forms, they would change:

• tú: Muestra la cuerda de escalada y el mosquetón.
• usted: Muestre la cuerda de escalada y el mosquetón.
• vosotros (common in Spain): Mostrad la cuerda de escalada y el mosquetón.
• ustedes: Muestren la cuerda de escalada y el mosquetón.

So this sentence sounds like you are telling one person you know well or speaking casually to one person.

Because Spanish often leaves out subject pronouns when they are not needed.

The verb form already tells you who the command is for:

• muestra already implies tú

So:

• Muestra la cuerda... is natural
• Tú muestra... would normally sound unnecessary or unnatural here

Spanish uses subject pronouns much less often than English.

Because Spanish nouns have grammatical gender.

• la cuerda: cuerda is a feminine noun
• el mosquetón: mosquetón is a masculine noun

The articles must match the gender of the noun:

• la
  • feminine singular noun
• el
  • masculine singular noun

This does not mean the objects themselves are feminine or masculine in any real-world sense; it is just part of Spanish grammar.

Spanish very often uses noun + de + noun where English might use one noun to describe another.

So:

• cuerda de escalada = literally rope of climbing
• natural meaning: climbing rope

This structure is extremely common in Spanish:

• zapatos de deporte = sports shoes
• gafas de sol = sunglasses
• mesa de madera = wooden table / table made of wood

So de escalada tells you what kind of rope it is.

In Spanish, it is very common to repeat the article before each noun in a list or pair, especially when the nouns are different items.

So this is the normal form:

• la cuerda de escalada y el mosquetón

That makes it clear you are talking about:

1. the climbing rope
2. the carabiner

Leaving out the second article would sound less natural here.

In this context, mosquetón means carabiner.

It is the standard word in Spain for the metal clip used in climbing and similar activities.

So if you are learning Spanish from Spain, mosquetón is a very useful word for outdoor and climbing vocabulary.

The accent mark shows where the stress goes.

• mosquetón is stressed on the last syllable: mos-ke-TÓN

Without the accent mark, Spanish stress rules would make you expect the stress somewhere else, so the written accent is needed.

This is also helpful for pronunciation.

A simple pronunciation guide would be:

MWES-tra la KWER-da de es-ka-LA-da ee el mos-ke-TON

A few notes:

• muestra begins with a diphthong: mwes-
• cuerda sounds roughly like KWER-da
• y before a consonant sounds like ee
• mosquetón is stressed at the end: -TÓN

If you are aiming for Spain Spanish, the exact pronunciation of some consonants may vary slightly by region, but the stress pattern above is the key thing to get right.

Yes, if you mean Show me the climbing rope and the carabiner.

The original sentence has no word meaning to me, so it is just Show the climbing rope and the carabiner (depending on context, possibly point out / display them).

If you want to include me, you could say:

• Muéstrame la cuerda de escalada y el mosquetón.
• Enséñame la cuerda de escalada y el mosquetón.

Both can work, though mostrar is especially close to to show.

In the sentence as written, de escalada most naturally attaches only to la cuerda:

• la cuerda de escalada = the climbing rope
• el mosquetón = the carabiner

If you wanted to make it clear that both items are climbing equipment, context usually does that already. But grammatically, de escalada is directly modifying cuerda, not both nouns equally.